Instantons in QCD

Abstract

We review the theory and phenomenology of instantons in QCD. After a general overview, we provide a pedagogical introduction to semi-classical methods in quantum mechanics and field theory. The main part of the review summarizes our understanding of the instanton liquid in QCD and the role of instantons in generating the spectrum of light hadrons. We also discuss properties of instantons at finite temperature and the chiral phase transition. We give an overview over the importance of instantons in some other models, in particular two dimensional sigma models, electroweak theory and supersymmetric QCD.

143 pages, latex (uses rmp.sty, harvard.sty, epsf.sty), 42 figures, to appear in Rev. Mod. Phys

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• Scheme dependence and the NSVZ $\beta$-function
• Topology of the SU(2) vacuum: a lattice study using improved cooling
• The QCD beta-function at O(1/N_f)
• Chirally Symmetric Phase of Supersymmetric Gluodynamics
• Physics of Thermal QCD
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• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory
• Nonperturbative Renormalization Group Equation and Beta Function in N=2 SUSY Yang-Mills
• Magnetic monopole loop for the Yang-Mills instanton
• Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory
• A numerical test of the continuum index theorem on the lattice
• Why is the B -> eta' X decay width so large ?
• On Lattice QCD with Many Flavors
• Asymptotic scaling in the two-dimensional $SU(3)$ $\sigma$-model at correlation length $4\times 10^5$
• Topological Charge and $U(1{)}_A$ Symmetry in the High Temperature Phase of QCD
• Some Cautionary Remarks on Abelian Projection and Abelian Dominance
• Finite-Temperature QCD on the Lattice
• Instantons and the Chiral Phase Transition
• Multi-instanton calculus in N=2 supersymmetric QCD
• Do classical configurations produce Confinement?
• Foundations of the Constituent Quark Model
• Coexistence of monopoles and instantons for different topological charge definitions and lattice actions
• Dependence of QCD hadron masses on the number of dynamical quarks
• The axial anomaly in QCD at finite temperature
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Cited by in corpus (935)

• Noncommutative Field Theory
• The Chiral Magnetic Effect
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• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
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• Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Physics of Strongly coupled Quark-Gluon Plasma
• Periodic Instantons with non-trivial Holonomy
• Instantons at work
• Axion Cosmology Revisited
• SU(N) gauge theories at large N
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• The Physics of Glueballs
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• Casimir scaling of SU(3) static potentials
• Heavy Ion Collisions: Achievements and Challenges
• Charge separation relative to the reaction plane in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Large-Momentum Effective Theory
• On the relevance of center vortices to QCD
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Topologically induced local P and CP violation in QCD x QED
• High Density QCD and Instantons
• A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
• 50 Years of Quantum Chromodynamics
• UV descriptions of composite Higgs models without elementary scalars
• The topological susceptibility in finite temperature QCD and axion cosmology
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Catalysis of Schwinger Vacuum Pair Production
• Nonperturbative Effects in Gluon Radiation and Photoproduction of Quark Pairs
• Patterns of Symmetry Breaking in QCD at High Baryon Density
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Schwinger-Dyson Approach to Color Superconductivity in Dense QCD
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• Inverse magnetic catalysis induced by sphalerons
• Dynamical holographic QCD model for glueball and light meson spectra
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• Flavor Asymmetry of Light Quarks in the Nucleon Sea
• Continuity, Deconfinement, and (Super) Yang-Mills Theory
• An interacting quark-diquark model of baryons
• A cosmological constant from the QCD trace anomaly?
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Anomalous Chiral Transport in Heavy Ion Collisions from Anomalous-Viscous Fluid Dynamics
• Azimuthal correlations from transverse momentum conservation and possible local parity violation
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Lattice QCD input for axion cosmology
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Structure Functions of the Nucleon and their Interpretation
• Resurgence theory, ghost-instantons, and analytic continuation of path integrals
• Light Quarks in the Instanton Vacuum at Finite Baryon Density
• Charge-Dependent Correlations in Relativistic Heavy Ion Collisions and the Chiral Magnetic Effect
• New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
• Gluon condensates and c, b quark masses from quarkonia ratios of moments
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
• Targeted free energy perturbation
• Linking confinement to spectral properties of the Dirac operator
• Anomalous transport effects and possible environmental symmetry "violation" in heavy ion collisions
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Hints on the power corrections from current correlators in x-space
• Instantons, the QCD Vacuum, and Hadronic Physics
• A schematic model for pentaquarks based on diquarks
• Note on a sigma model connection with instanton dynamics
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Limits on Cosmological Variation of Strong Interaction and Quark Masses from Big Bang Nucleosynthesis, Cosmic, Laboratory and Oklo Data
• High Density Quark Matter and the Renormalization Group in QCD with two and three flavors
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• X(1835) as the Lowest Mass Pseudoscalar Glueball and Proton Spin Problem
• Gluon Shadowing and Heavy Flavor Production off Nuclei
• Instanton Effects in QCD at High Baryon Density
• Confronting Instanton Perturbation Theory with QCD Lattice Results
• Instanton-induced Effects in QCD High-Energy Scattering
• Valence QCD: Connecting QCD to the Quark Model
• Direct instantons, topological charge screening and QCD glueball sum rules
• QCD Tests of the Puzzling Scalar Mesons
• Exploring the structure of the quenched QCD vacuum with overlap fermions
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• Fluctuations and the axial anomaly with three quark flavors
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Holographic glueball structure
• Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
• Unquenched quark model for baryons: magnetic moments, spins and orbital angular momenta
• QCD Instantons and the Soft Pomeron
• Experiments in Fundamental Neutron Physics
• Quark matter under rotation in the NJL model with vector interaction
• Improving the Chiral Properties of Lattice Fermions
• The QCD vacuum
• Hard exclusive electroproduction of decuplet baryons in the large N_c limit
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Chiral Loops and Ghost States in the Quenched Scalar Propagator
• On the Charge Separation Effect in Relativistic Heavy Ion Collisions
• Hidden topological angles and Lefschetz thimbles
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• The masses of $P_c^{\ast }(4380)$ and $P_c^{\ast }(4450)$ in the quasi particle diquark model
• Nuclear effects in the Drell-Yan process at very high energies
• Intrinsic transverse momentum and parton correlations from dynamical chiral symmetry breaking
• The check of QCD based on the tau-decay data analysis in the complex q^2-plane
• Thouless Energy and Correlations of QCD Dirac Eigenvalues
• On covariant nonlocal chiral quark models with separable interactions
• Tetraquark spectroscopy
• The Constant-Sound-Speed parameterization for NJL models of quark matter in hybrid stars
• Nonlocal Polyakov-Nambu-Jona-Lasinio model with wavefunction renormalization at finite temperature and chemical potential
• QCD Parameters Correlations from Heavy Quarkonia
• Topology in full QCD at high temperature: a multicanonical approach
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Critique of a Pion Exchange Model for Interquark Forces
• A new method for the experimental study of topological effects in the quark-gluon plasma
• Light pseudoscalar mesons in a nonlocal SU(3) chiral quark model
• Dependence of hadronic properties on Quark Masses and Constraints on their Cosmological Variation
• Instantons and $<A^2>$ Condensate
• Symmetries of hadrons after unbreaking the chiral symmetry
• Instanton Content of the SU(3) Vacuum
• The Present and Future of QCD
• Domain walls of high-density QCD
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• Beyond Miransky Scaling
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Singular values of the Dirac operator in dense QCD-like theories
• On the Cosmological Constant Problems and the Astronomical Evidence for a Homogeneous Energy Density with Negative Pressure
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Hydrodynamic attractors in heavy ion collisions: a review
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Limits on TMD Evolution From Semi-Inclusive Deep Inelastic Scattering at Moderate $Q$
• The strong coupling constant at small momentum as an instanton detector
• Hot spots and the hollowness of proton-proton interactions at high energies
• Hot quark matter and (proto-) neutron stars
• Chiral quark models with non-local separable interactions at finite temperature and chemical potential
• Transparent Nuclei and Deuteron-Gold Collisions at RHIC
• Charmonium spectra at finite temperature from QCD sum rules with the maximum entropy method
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• Meson properties at finite temperature in a three flavor nonlocal chiral quark model with Polyakov loop
• Nonperturbative Gluon Radiation and Energy Dependence of Elastic Scattering
• New findings for topological excitations in SU(3) lattice gauge theory
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Microscopic Structure of Magnetic Bions
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Condensates in Quantum Chromodynamics
• Topological susceptibility in full QCD at zero and finite temperature
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Thouless Energy and Correlations of QCD Dirac Eigenvalues
• Phase diagram of neutral quark matter in nonlocal chiral quark models
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• Instanton-induced Inelastic Collisions in QCD
• Soft QCD Dynamics of Elastic Scattering in Impact Parameter Representation
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• SU(2)_L * SU(2)_R and U(1)_A restorations high in the hadron spectrum and what it tells us about
• The \bar q q Bound States and Instanton Molecule at T >~ T_c
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Nonperturbative approach to Yang-Mills thermodynamics
• Meron Pairs and Fermion Zero Modes
• $D_{s0}(2317)$ as a tetraquark state with QCD sum rules in heavy quark limit
• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• Unbreaking chiral symmetry
• Characteristics of the chiral phase transition in nonlocal quark models
• The topological susceptibility of SU(3) gauge theory near T_c
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• The Ginzburg-Landau Free Energy Functional of Color Superconductivity at Weak Coupling
• On high $Q^2$ behavior of the pion form factor for transitions ${\gamma }^{\ast }\gamma \to {\pi }^0$ and ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$ within the nonlocal quark-pion model
• Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results
• Lectures on instantons
• Nuclear Shadowing in Electro-Weak Interactions
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Charm annihilation effects on the hyperfine splitting in charmonium
• Scaling laws near the conformal window of many-flavor QCD
• On The Origin of the OZI Rule in QCD
• Electroweak instantons/sphalerons at VLHC?
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Azimuthal Asymmetry of pions in pp and pA collisions
• The role of monopoles in a Gluon Plasma
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Evidence for Instanton-Induced Dynamics, from Lattice QCD
• On the topological content of SU(2) gauge fields below T_c
• Electrical conductivity of quark matter at finite T under external magnetic field
• Z_c -like spectra from QCD Laplace sum rules at NLO
• Complete spectra of the Dirac operator and their relation to confinement
• Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves
• Chiral Fluid Dynamics and Collapse of Vacuum Bubbles
• Yang-Mills- and D-instantons
• Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD
• Calorons, instantons and constituent monopoles in SU(3) lattice gauge theory
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• Testing the self-duality of topological lumps in SU(3) lattice gauge theory
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• Confinement from Merons
• Topological field theory and computing with instantons
• Cooling, Physical Scales and Topology
• Properties of near-zero modes and chiral symmetry breaking
• Evidences for two scales in hadrons
• Chiral phase transition in a covariant nonlocal NJL model
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• Precise Quark Mass Dependence of Instanton Determinant
• Spontaneous $CP$ breaking in QCD and the axion potential: an effective Lagrangian approach
• Higher charge calorons with non-trivial holonomy
• Forced Tunneling and Turning State Explosion in Pure Yang-Mills Theory
• Hadron Spectroscopy: Theory and Experiment
• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Understanding the Non-Perturbative Deep-Inelastic Scattering: Instanton-induced Inelastic Dipole-Dipole Cross Section
• Approach to the Continuum Limit of the Quenched Hermitian Wilson-Dirac Operator
• Scalar Gluonium and Instantons
• Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium
• Two-colour QCD phases and the topology at low temperature and high density
• Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• Investigating and Optimizing the Chiral Properties of Lattice Fermion Actions
• Transverse target spin asymmetry in inclusive DIS with two-photon exchange
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• The structure of $f_0(980)$ from charmed mesons decays
• Low energy constants of \chiPT from the instanton vacuum model
• Calculation of QCD Instanton Determinant with Arbitrary Mass
• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
• Systematic Study of the Single Instanton Approximation in QCD
• The Magneto-Sono-Luminescence and its signatures in photon and dilepton production in heavy ion collisions
• Vector interaction, charge neutrality and multiple chiral critical point structures
• Improved light quark masses from pseudoscalar sum rules
• Exploring effects of magnetic field on the Hadron Resonance Gas
• Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD
• Shear viscosity of quark matter at finite temperature in magnetic fields
• Discrete and Global Symmetries in Particle Physics
• Dark Energy from graviton-mediated interactions in the QCD vacuum
• Meson loop effects in the NJL model at zero and non-zero temperature
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Exact Flow Equations and the U(1)-Problem
• Gluons in glueballs: Spin or helicity?
• Deconfinement and chiral restoration in nonlocal SU(3) chiral quark models
• Analysis the $0^{++}$ nonet mesons as four-quark states with the QCD sum rules
• Meson Properties in the 1/N_c-corrected NJL model
• Magnetic susceptibility of the QCD vacuum
• Structure and Dynamics of Monopoles in Axial-Gauge QCD
• Holonomy potential and confinement from a simple model of the gauge topology
• Cosmological CP odd axion field as the coherent Berry's phase of the Universe
• The curious incident of multi-instantons and the necessity of Lefschetz thimbles
• On the twist-3 contribution to h_L in the instanton vacuum
• QCD sum rule analysis for light vector and axial-vector mesons in vacuum and nuclear matter
• Unusual Features of QCD Low-Energy Modes in IR Phase
• Instanton dominance of topological charge fluctuations in QCD?
• Semileptonic D decay into scalar mesons: a QCD sum rule approach
• ${\eta }_c$ - glueball Mixing and Resonance X(1835)
• Zooming-in on Instantons at HERA
• Three-loop Correction to the Instanton Density. I. The Quartic Double Well Potential
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
• The localization transition in SU(3) gauge theory
• Using bijective maps to improve free energy estimates
• Sum rules for CP-violating operators of Weinberg type
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• Is Hyperon Polarization in Relativistic Heavy Ion Collisions Connected to Axial U(1) Symmetry Breaking at High Temperature?
• On the longitudinal contributions to hadronic tau decay
• Topological term, QCD anomaly, and the eta' chiral soliton lattice in rotating baryonic matter
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• Domain Walls and Theta Dependence in QCD with an Effective Lagrangian Approach
• Instantons in self-organizing logic gates
• Modified instanton profile effects from lattice Green functions
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The Electroweak Vacuum Angle
• Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
• Instantons and Gribov Copies in the Maximally Abelian Gauge
• Scalar Mesons, Glueballs, Instantons and the Glueball/Sigma
• Quark mass effects on the topological susceptibility in QCD
• Implications of the ALEPH tau-Lepton Decay Data for Perturbative and Non-Perturbative QCD
• New anomalous trajectory in Regge theory
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• Low-lying $\Omega$ states with negative parity in an extended quark model with Nambu-Jona-Lasinio interaction
• On the spectrum of the Faddeev-Popov operator in topological background fields
• The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum
• Holographic Instanton Liquid and chiral transition
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• Chiral Symmetry Breaking on the Lattice
• Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom
• $\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study
• Condition for confinement in non-Abelian gauge theories
• Local CP-violation and electric charge separation by magnetic fields from lattice QCD
• VA\tilde V correlator within the instanton vacuum model
• Electromagnetic form factors of the pion and kaon from the instanton vacuum
• Critical Points at Infinity, Non-Gaussian Saddles, and Bions
• Instanton interactions in dense-matter QCD
• Glueballs and statistical mechanics of the gluon plasma
• Massive field contributions to the QCD vacuum tunneling amplitude
• The Sea of Quarks and Antiquarks in the Nucleon: a Review
• Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
• X(1812) in Quarkonia-Glueball-Hybrid Mixing Scheme
• Baryon structure in a quark-confining non-local NJL model
• Chiral symmetry restoration in excited hadrons, quantum fluctuations, and quasiclassics
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity
• Are Topological Charge Fluctuations in QCD Instanton Dominated?
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Calorons and localization of quark eigenvectors in lattice QCD
• Are There Diquarks in the Nucleon?
• Confinement and Chiral Symmetry Breaking via Domain-Like Structures in the QCD Vacuum
• Chiral restoration at finite T under the magnetic field with the meson-loop corrections
• Instantons in the Saturation Environment
• Strong magnetic fields in nonlocal chiral quark models
• Instanton-induced crossover in dense QCD
• Topology and chiral symmetry breaking in SU(N) gauge theories
• SU(N) caloron measure and its relation to instantons
• Lam'e Instantons
• Eigenvalue Decomposition of Meson Correlators
• Toward the non-perturbative description of high energy processes
• Instanton interpolating current for $\sigma$--tetraquark
• The Nonperturbative Color Meissner Effect in a Two-Flavor Color Superconductor
• Pseudoscalar Glueball Mass: QCD vs. Lattice Gauge Theory Prediction
• Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
• Confinement Mechanism in the Field Correlator Method
• A numerical study of non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD
• Magnetic Wall From Chiral Phase Transition and CMBR Correlations
• Instanton contribution to the Sivers function
• Scale symmetry breaking, quantum anomalous energy and proton mass decomposition
• Diquark properties from full QCD lattice simulations
• $\rho$ condensation and physical parameters
• Meson and glueball spectra with the relativistic flux tube model
• Spontaneously broken color
• Diquark Condensation in High Density Baryon Matter
• Comment on ``Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD''
• Exotic glueball $0^{\pm -}$ states in QCD Sum Rules
• Instanton Contribution to the Pion Electro-Magnetic Formfactor at Q^2 > 1 GeV^2
• Diquark mass differences from unquenched lattice QCD
• Symmetric cumulants as a probe of the proton substructure at LHC energies
• Pion radiative weak decays in nonlocal chiral quark models
• Diffractive gauge bosons production beyond QCD factorisation
• Nonperturbative quark-antiquark interactions in mesonic form factors
• Local P Violation Effects and Thermalization in QCD: Views from Quantum Field Theory and Holography
• Ideal topological gas in the high temperature phase of SU(3) gauge theory
• Spatial Correlation of the Topological Charge in Pure SU(3) Gauge Theory and in QCD
• A Bayesian analysis of the properties of hybrid stars with the NJL model
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
• Topological Aspect of Abelian Projected SU(2) Lattice Gauge Theory
• m_u+m_d From Isovector Pseudoscalar Sum Rules
• Aspects of Instanton Dynamics in AdS/CFT Duality
• Heavy quark potential in the instanton liquid model
• Classical interactions of the instanton-dyons with antidyons
• Instanton Effects in Three Flavor QCD
• Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge
• Long distance expansion for the NJL model with SU(3) and U_A(1) breaking
• Spectral Functions in V-QCD with Matter: Masses, Susceptibilities, Diffusion and Conductivity
• The monopole content of topological clusters : have KvB calorons been found?
• Light scalar mesons in QCD sum rules with inclusion of instantons
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Instantons in Chiral Magnets
• Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Spin structure of the pion from the instanton vacuum
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Quantum properties of a non-Abelian gauge invariant action with a mass parameter
• The Myriad Uses of Instantons
• The flavour singlet mesons in QCD
• Vacuum Condensates in the Global Color Symmetry Model
• Dirac Strings and Monopoles in the Continuum Limit of SU(2) Lattice Gauge Theory
• The non-perturbative part of the plaquette in quenched QCD
• Glueball phenomenology and the relativistic flux tube model
• Quark fragmentation in the $\theta$-vacuum
• Updated study of the $\eta$-${\eta }^{\prime }$ mixing and the thermal properties of light pseudoscalar mesons at low temperatures
• Instanton liquid properties from lattice QCD
• Walking on the Ladder: 125 GeV Technidilaton, or Conformal Higgs -Dedicated to the late Professor Yoichiro Nambu-
• Meson-loop contributions to the quark condensate from the instanton vacuum
• Width of the J^P=1/2^+ pentaquark in the quark-diquark model
• Instanton induced quark dynamics and the pentaquark
• Instanton and Higher-Loop Perturbative Contributions to the QCD Sum-Rule Analysis of Pseudoscalar Gluonium
• Jet Quenching in High Energy Heavy Ion Collisions by QCD Synchrotron-like Radiation
• On Goldstone bosons decoupling from high-lying hadrons
• Calorons in SU(3) lattice gauge theory
• Gravitational instantons and anomalous chiral symmetry breaking
• Inhomogeneous phases in nonlocal chiral quark models
• Correlator of Topological Charge Densities in Instanton Model in QCD
• Instantons in QCD with Many Colors
• Exact Results in Gauge Theories: Putting Supersymmetry to Work. The 1999 Sakurai Prize Lecture
• A test of the instanton vacuum with low-energy theorems of the axial anomaly
• Comparing lattice Dirac operators in smooth instanton backgrounds
• The topological objects near the chiral crossover transition in QCD
• Chiral spin symmetry and hot/dense QCD
• Impact parameter dependent quark distribution of the pion
• Analysis of the scalar nonet mesons with the QCD sum rules
• Light Scalar Mesons in the Improved Ladder QCD
• Instanton Determinant with Arbitrary Quark Mass: WKB Phase-shift Method and Derivative Expansion
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Axion potential, topological defects and CP-odd bubbles in QCD
• Evidence for fine tuning of fermionic modes in lattice gluodynamics
• Off-diagonal quark distribution functions of the pion within an effective single instanton approximation
• Two flavor color superconductivity in nonlocal chiral quark models
• Instanton-induced Azimuthal Spin Asymmetry in Deep Inelastic Scattering
• Realisation of chiral symmetry in the domain model of QCD
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• On a possible compensation of the QCD vacuum contribution to the Dark Energy
• QCD condensates with flavor SU(3) symmetry breaking from the instanton vacuum
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model
• Yang-Mills Instantons and Dyons on Group Manifolds
• Dissipation in a topological Josephson junction
• Local topological and chiral properties of QCD
• Recombination of dyons into calorons in SU(2) lattice fields at low temperatures
• Possible formation of high temperature superconductor at early stage of heavy-ion collisions
• Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Chiral symmetry in the low-energy limit of QCD at finite temperature
• Analysis of the X(1576) as a tetraquark state with the QCD sum rules
• The Neutron Electric Dipole Moment in the Instanton Vacuum: Quenched Versus Unquenched Simulations
• Chiral magnetic effect at low temperature
• Approximating chiral quark models with linear sigma-models
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• Fractionalized Non-Self-Dual Solutions in the CP(N-1) Model
• Does nuclear matter bind at large $N_c$?
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Real and Virtual Compton Scattering off the Nucleon
• Anomalous Quark Chromomagnetic Moment and Single-Spin Asymmetries
• Topological Susceptibility on Dynamical Staggered Fermion Configurations
• Di-Gluonium Sum Rules, I = 0 Scalar Mesons and Conformal Anomaly
• Mass structure of hadrons and light-front sum rules in t' Hooft model
• Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
• The Instanton-Dyon Liquid Model V: Twisted Light Quarks
• On the $\pi \pi$ contribution to the QCD sum rules for the light tetraquark
• Triquark correlations and pentaquarks in a QCD sum rule approach
• Gluon Green functions free of Quantum fluctuations
• Mass sum rule of hadrons in the QCD instanton vacuum
• Confining dyon gas with finite-volume effects under control
• Topological tunneling with Dynamical overlap fermions
• On Statistical Mechanics of Instantons in the CP^{N_c-1} Model
• Covariant Worldline Numerics for Charge Motion with Radiation Reaction
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Thermal Dileptons from a Nonperturbative Quark-Gluon Phase
• Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas
• Rotating gluon system and confinement
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Instanton effects on Wilson-loop correlators: a new comparison with numerical results from the lattice
• Instanton Contribution to the Quark Form Factor
• Measuring spin correlation between quarks during QCD confinement
• Instantons, diquarks and non-leptonic weak decays of hyperons
• Confinement from Instantons or Merons
• Confinement in QCD and generic Yang-Mills theories with matter representations
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Quasi-instantons in QCD with chiral symmetry restoration
• Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Implication of Exact SUSY Gauge Couplings for QCD
• Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
• Comments on the Instanton Size Distribution
• Slavnov-Taylor constraints for non-trivial backgrounds
• Chemical Potential Dependence of Chiral Quark Condensate in Dyson-Schwinger Equation Approach of QCD
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• A QCD sum rule analysis of the pentaquark
• On the high-scale instanton interference effect: axion models without domain wall problem
• Axial anomaly and hadronic properties in a nuclear medium
• Thermal mass and dispersion relations of quarks in the deconfined phase of quenched QCD
• Is D_s(2700) a charmed tetraquark state ?
• Single Spin Asymmetry through QCD Instantons
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Semiclassical Approximation for Non-Abelian Field Strength Correlators in the Instanton Dilute Gas Model
• Twist-4 contribution to unpolarized structure functions F_L and F_2 from instantons
• Higher twists in polarized DIS and the size of the constituent quark
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Vanishing dynamical quark mass at zero virtuality?
• Toward the Semiclassical Theory of the High Energy Heavy Ion Collisions
• Semiclassical Double-Pomeron Production of Glueballs and ${\eta }^{\prime }$
• The Pauli form factor of the quark induced by instantons
• Simultaneous QCD analysis of diffractive and inclusive DIS data
• Thoughts on Non-Perturbative Thermalization and Jet Quenching in Heavy Ion Collisions
• Topological objects in QCD
• Analysis on nonperturbative flavor violation at chiral crossover criticality in QCD
• Chiral Magnetic Effect in Heavy Ion Collisions
• The Nuclear matter stability in a non-local chiral quark model
• Dual Fermion Condensates in Curved Space
• The Interacting Gluon Model: a review
• Conformal window in QCD for large numbers of colours and flavours
• Pion form factor and QCD sum rules: case of pseudoscalar current
• QCD and the eta prime Mass: Instantons or Confinement?
• Pion gravitational form factors in the QCD instanton vacuum I
• Proton Electro-Magnetic Form-Factors in the Instanton Liquid Model
• QCD vacuum structure
• The Berry Phase and Monopoles in Non-Abelian Gauge Theories
• Mesonic and nucleon fluctuation effects at finite baryon density
• Towards a semi-classical description of QCD vacuum around $T_c$
• Leading twist moments of the neutron structure function F2n
• Stochastic field theory for a Dirac particle propagating in gauge field disorder
• Instantons and Scalar Multiquark States: From Small to Large N_c
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• Mirror Symmetry of quantum Yang-Mills vacua and cosmological implications
• Form factors of radiative pion decays in nonlocal chiral quark models
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Tetrahedron instantons
• Adjoint modes as probes of gauge field structure
• Confinement-Deconfinement Phase Transition at Nonzero Chemical Potential
• PNJL model at zero temperature: three-flavor case
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Chaos assisted instanton tunneling in one dimensional perturbed periodic potential
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Pion gravitational form factors in the QCD instanton vacuum II
• Prompt Multi-Gluon Production in High Energy Collisions from Singular Yang-Mills Solutions
• Light-front wave functions of mesons, baryons and pentaquarks, with topology-induced local 4-quark interaction
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• Topological aspects of G2 Yang-Mills theory
• $0^{++}$ scalar glueball in finite-width Gaussian sum rules
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• Modified initial state for perturbative QCD
• Classes of confining gauge field configurations
• Quark propagator, instantons and gluon propagator
• Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: an analysis using RG smoothing
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• The Instanton/Sphaleron Mechanism of Prompt Gluon Production in High Energy Heavy Ion Collisions at RHIC
• Monopole characteristics in various Abelian gauges
• Valence quark distributions in mesons in generalized QCD sum rules
• Recent progress on QCD inputs for axion phenomenology
• Role of Glueballs in Non-Perturbative Quark-Gluon Plasma
• Rho meson properties from combining QCD-based models
• Gluonic components of the pion and the transition form factor ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$
• Generalized Ginzburg-Landau approach to inhomogeneous phases in nonlocal chiral quark models
• Euclidean Correlation Functions in a Holographic Model of QCD
• Instantons and the Spin of the Nucleon
• Investigation of meson masses for real and imaginary chemical potential
• Influence of Meson's Widths on Yukawa-like Potentials and Lattice Correlation Functions
• Anatomy of the fragmented Hilbert space: eigenvalue tunneling, quantum scars and localization in the perturbed random regular graph
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Instanton Contribution to the Proton and Neutron Electric Form Factors
• Dynamical structure of the chiral QCD vacuum in the zero modes enhancement quantum model
• Nonperturbative Aspect of Axial Vector Vertex in the Global Color Symmetry Model
• Mirror QCD and Cosmological Constant
• Small Instantons in $C{P}^1$ and $C{P}^2$ Sigma Models
• Instanton Contribution to the Electro-Magnetic Form Factors of the Nucleon
• Measurement of flavor asymmetry of light-quark sea in the proton with Drell-Yan dimuon production in $p+p$ and $p+d$ collisions at 120 GeV
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Two-scale hadronic structure and elastic pp scattering: predicted and measured
• Dynamical gluon mass in the instanton vacuum model
• Color Superconductivity
• The QCD vacuum as a disordered medium: A simplified model for the QCD Dirac operator
• Instanton-dyon Ensembles III: Exotic Quark Flavors
• Role of anomalous chromomagnetic interaction in Pomeron and Odderon structures and in gluon distribution
• Instanton contribution to scalar charmonium and glueball decays
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Singlet VA \tilde V correlator within the instanton vacuum model
• Topological structure of chiral QCD vacuum
• Time-crystal ground state and production of gravitational waves from QCD phase transition
• Improved superposition schemes for approximate multi-caloron configurations
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• Is there diquark clustering in the nucleon?
• A New Mechanism for Single Spin Asymmetries in Strong Interactions
• Confining Effective Theories Based on Instantons and Merons
• Do Instantons Like a Colorful Background?
• NN interaction in a Goldstone boson exchange model
• Masses of Heavy and Light Scalar Tetraquarks in a Non-Relativistic Quark Model
• Instanton effects in quark form factor and quark-quark scattering at high energy
• Nonperturbative features of the axial current
• Instantons and Chiral Symmetry on the Lattice
• Basic Treatment of QCD Phase Transition Bubble Nucleation
• New Insight about the Effective Restoration of U_A(1) Symmetry
• Time-dependent $NAd{S}_2$ holography with applications
• Vector-current correlation and charge separation via chiral-magnetic effect
• Finite-volume analysis of N_f-induced chiral phase transitions
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the covariant gauge QCD
• Asymptotically conformal CFL quark matter within a nonlocal chiral quark model
• Gravitational waves and primordial black holes from chirality imbalanced QCD first-order phase transition with $\mathcal{P}$ and $\mathcal{C}\mathcal{P}$ violation
• Quantum Yang--Mills Dark Energy
• Topological Concepts in Gauge Theories
• Reflections on the Strong CP Problem
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Demystifying generalized parton distributions
• New Instanton Solutions at Finite Temperature
• A two-component picture of the <A^2> condensate with instantons
• Instanton-anti-instanton molecule with non-zero-modes of quarks included
• Temperature dependence of instantons in QCD
• DVCS via color dipoles: Nonperturbative effects
• Two-loop corrections to false vacuum decay in scalar field theory
• Bubble collisions in a SU(2) model of QCD
• Comparison of |Q|=1 and |Q|=2 gauge-field configurations on the lattice four-torus
• Infrared degrees of freedom of Yang-Mills theory in the Schroedinger representation
• Towards Phonon-Like Excitations of Instanton Liquid
• Ground state mass spectrum for scalar diquarks with Bethe-Salpeter equation
• Toward dynamical understanding of the diquarks, pentaquarks and dibaryons
• Annihilation diagram contribution to charmonium masses
• Zero mode effect in the $1^{-+}$ four quark states
• Proton spin after 30 years: what we know and what we don't?
• Spin force dependence of the parton distributions: the ratio $F_2^n(x,Q^2)/F_2^p(x,Q^2)$
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Thermomagnetic renormalons in a scalar self-interacting $\lambda {\varphi }^4$ theory
• Axial and pseudoscalar current correlators and their couplings to eta and etaprime mesons
• QCD Critical Points and Their Associated Soft Modes
• Generalized form factors and spin structures of the kaon
• Parameter free calculation of hadronic masses from instantons
• QCD magnetic susceptibility at finite temperature beyond the chiral limit
• Zero mode solutions of quark Dirac equations in QCD as the sources of chirality violating condensates
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Instanton Corrections to Quark Form Factor at Large Momentum Transfer
• Spin Physics through QCD Instantons
• On Chiral Symmetry Breaking, Topology and Confinement
• Propagators in Noncommutative Instantons
• Strongly coupled QFT dynamics via TQFT coupling
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Search for the chiral magnetic wave using anisotropic flow of identified particles at RHIC
• Topology in QCD
• Insight into the Role of Instantons and their Zero Modes from Lattice QCD
• Light Gluino Mass and Condensate from Properties of $\eta$ and ${\eta }^{\prime }$
• The U(1) Problem in Chiral Random Matrix Models
• Probing hadronic formation times with antiprotons in p+A reactions at AGS energies
• Searching for QCD Instantons at Hadron Colliders
• High energy nuclear interactions and QCD: an introduction
• Diffractive Bremsstrahlung in Hadronic Collisions
• Ultra-light Glueballs in Quark-Gluon Plasma
• Instanton-induced Semi-hard Parton Interactions and Phenomenology of High Energy Hadron Collisions
• (1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation
• Spin polarized phases in strongly interacting matter: interplay between axial-vector and tensor mean fields
• $SL(2,R)$ lattices as information processors
• D-instantons and multiparticle production in N=4 SYM
• QCD phases at high density and instantons
• Instantons, Chiral Dynamics and Hadronic Resonances
• Single Spin Asymmetries in High Energy Reactions and Nonperturbative QCD Effects
• Hunting for QCD Instantons at the LHC in Events with Large Rapidity Gaps
• Scalar susceptibility from the instanton vacuum with meson-loop corrections
• Quark Forces from Hadron Spectroscopy
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• Phases of circle-compactified QCD with adjoint fermions at finite density
• Computing the Effective Hamiltonian of Low-Energy Vacuum Gauge Fields
• Proton-proton interaction in constituent quarks model at LHC energies
• Monopole Clustering and Color Confinement in the Multi-Instanton System
• Instantons and $\eta$ Meson Production near threshold in NN collisions
• Gluonic Structure of the Constituent Quark
• Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum
• Anomaly in decay of 8Be and 4He -- can an observed light boson mediate low energy nucleon-nucleon interactions ?
• DDVCS on nucleons and nuclei
• The finite-width Laplace sum rules for $0^{++}$ scalar glueball in instanton liquid model
• Strong CP breaking and quark-antiquark repulsion in QCD, at finite theta
• Are the low-momentum gluon correlations semiclassically determined?
• Higher topological charge in the QCD vacuum and axion cosmology
• Gravity assisted solution of the mass gap problem for pure Yang-Mills fields
• Nonperturbative Flavor Breaking in Topological Susceptibility at Chiral Crossover
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Calorons in Weyl Gauge
• Instantons and color symmetry breaking in the vacuum
• Instantons and the $\Delta I=1/2$ Rule
• QCD topology and axion properties in an isotropic hot and dense medium
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• Phase transition into Instanton Crystal
• The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions
• Weyl symmetric structure of QCD vacuum
• D-instantons in Real Time Dynamics
• Anomalous pion production induced by nontrivial topological structure of QCD vacuum
• Statistical properties of an ensemble of vortices interacting with a turbulent field
• Dislocations under gradient flow and their effect on the renormalized coupling
• Chiral symmetry breaking patterns in the U_L(n)xU_R(n) meson model
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
• Abelian Monopole and Center Vortex Views at the Multi-Instanton Gas
• Gauge-Invariant Quantities Characterizing Gauge Fields in Chromodynamics
• Spin effects within the instanton model
• On the spectral density from instantons in quenched QCD
• Real Compton Scattering via Color Dipoles
• Dense Instanton-Dyon Liquid Model: Diagrammatics
• Random Matrix Theory and QCD at nonzero chemical potential
• Role of U${}_A$(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories
• A Four-Fermi Model in 0+1 Dimensions in Matter
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• Constraint on the light quark mass $m_q$ from QCD Sum Rules in the $I=0$ scalar channel
• Instantons in Lepton Pair Production
• Vacuum structure and high-energy scattering
• Image-processing the topological charge density in the CP(N-1) model
• Gauge invariance properties and singularity cancellations in a modified PQCD
• Neutrino-production of single pions: dipole description
• Valence quark distributions in nucleon at low $Q^2$ in QCD
• Color confinement, chiral symmetry breaking, and catalytic effect induced by monopole and instanton creations
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Chiral restoration at finite temperature with meson loop corrections
• Heavy quark correlators in Instanton Liquid Model with perturbative corrections
• Correction to the Chiral Magnetic Effect from axial-vector interaction
• Adjoint string breaking in the pseudoparticle approach
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• U_A(1) Symmetry Breaking and eta, eta prime mesons in the Bethe-Salpeter Approach
• U_A(1) Anomaly at high temperature: the scalar-pseudoscalar splitting in QCD
• Low energy limit of QCD and the emerging of confinement
• The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD
• Bogolyubov-Hartree-Fock approach to studying the QCD ground state
• Shadowing in Compton scattering on nuclei
• Instanton contributions to the low-lying hadron mass spectrum
• First Order Chiral Phase Transition from a Six-fermion ''Instanton''-Interaction
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• QCD isospin breaking ChPT low-energy constants from the instanton vacuum
• Field strength correlators in the instanton gas: The importance of the two-instanton contribution
• Photo-production of ${\eta }_{c,b}$ near Threshold
• Anomalous Quark Chromomagnetic Moment and Dynamics of Elastic Scattering
• The effect of uu diquark suppression in proton splitting in Monte Carlo event generators
• Threshold photoproduction of ${\eta }_c$ and ${\eta }_b$ using holographic QCD
• Instanton-induced charm contribution to polarized deep-inelastic scattering
• Hubble selection of the weak scale from QCD quantum critical point
• QCD in Extreme Environments
• Finite-width Gaussian sum rules for $0^{-+}$ pseudoscalar glueball based on correction from instanton-gluon interference to correlation function
• Instantons and the singlet-coupling in the chiral quark model
• Confinement on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ and Double-String Collapse
• The role of $U(1{)}_A$ symmetry breaking in the QCD corrections to the pion mass difference
• Gluons, Light and Heavy Quarks in the Instanton Vacuum
• Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results
• Strange stars and the cosmological constant problem
• Interplay between $SU(N_f)$ chiral symmetry, $U(1{)}_A$ axial anomaly and massless bosons
• Aspects of the QCD $\theta$-vacuum
• Poincaré recurrence theorem and the strong CP-problem
• Slope of the topological charge, proton spin and $0^{-+}$ pseudoscalar di-gluonia spectra
• Topological zero modes at nonzero chemical potential
• Searches for QCD instantons with forward proton tagging
• Astrophysical Observations of Early Universe Phase Transitions
• Thermal conductivity of the quark matter for the SU(2) light-flavor sector
• A hidden classical symmetry of QCD
• Calorons and fermion zero-modes
• Monopole and instanton effects in QCD
• O.P.E. and Power Corrections to the QCD coupling constant
• Safe and free instantons
• Hadronic Correlation Functions in the Random Instanton-dyon Ensemble
• Possible Color Octet Quark-Anti-Quark Condensate in the Instanton Model
• Hopf defects as seeds for monopole loops
• QCD in a finite box: Numerical test studies in the three Leutwyler-Smilga regimes
• How to calculate the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the axial gauge QCD
• Temperature dependence of dimension 6 gluon operators and their effects on Charmonium
• Light-Quark Mesons and Four-Quark Condensates at Finite Temperature
• Radiative corrections to false vacuum decay in quantum mechanics
• Ultra-High Energy Cosmic Rays and Stable H-dibaryon
• Heavy-heavy and heavy-light quarks interactions generated by QCD vacuum
• Spectral density of the Dirac-Ginsparg-Wilson operator, chiral $U(1{)}_A$ anomaly, and analyticity in the high temperature phase of $QCD$
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Instanton Density Operator in Lattice QCD from Higher Category Theory
• Non-perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Topological Charge Fluctuations and Low-Lying Dirac Eigenmodes
• Light-cone representation of the quark Schwinger-Dyson equation
• Heavy baryon production with an instanton interaction
• Renormalized Wick expansion for a modified PQCD
• Axial anomaly and the delta_{LT} puzzle
• Chiral Disorder and QCD at Finite Chemical Potential
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Proposal for Topologically Unquenched QCD
• The Problem of Mass: Mesonic Bound States Above T_c
• Central Instanton Production
• Recent progress in understanding deconfinement and chiral restoration phase transitions
• Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
• Finite temperature corrections to a NLO Nambu-Jona-Lasinio model
• Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton
• Propagators and topology
• Accessing Topological Fluctuations of Gauge Fields with Chiral Magnetic Effect
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Towards self-consistent definition of instanton liquid parameters
• Dynamic zero modes of Dirac fermions and competing singlet phases of antiferromagnetic order
• Competition of Color Ferromagnetic and Superconductive States in a Quark-Gluon System
• Classical Chaos and its Quantum Manifestations
• Pion radiative weak decay from the instanton vacuum
• 2004 Review of Light Cone Field Theory
• How to observe the QCD instanton/sphaleron processes at hadron colliders?
• Chiral symmetry breaking and monopoles in gauge theories
• A Topological Way of Finding Solutions to Yang-Mills Equation
• Gauge and Scalar Fields on ${\mathbb{CP}}^2$: A Gauge-invariant Analysis II. The measure for gauge fields and a 4d WZW theory
• Understanding the U(1) problem through dyon configuration in the Abelian projection
• Axions in Cold Dark Matter and Inflation Models
• Instanton-dyon ensembles reproduce deconfinement and chiral restoration phase transitions
• Flavour-singlet g_A and the QCD sum rule incorporating instanton effects
• The strong CP problem, general covariance, and horizons
• Non-perturbative collisional energy loss of heavy quarks in quark-gluon plasma
• Non-Abelian field strength bilocal correlator at finite temperature in the model of dilute instanton gas
• Gluino Condensation in an Interacting Instanton Ensemble
• Topologically Unquenched QCD: Prospects from an explorative study in 2-flavour QED(2)
• Instantons in rotating finite-temperature Yang-Mills gas
• Hadronization and Strangeness Production in a Chirally Symmetric Nonequilibrium Model
• Dielectron Production in Heavy Ion Collisions at 158 GeV/c per Nucleon
• Finite Quark Mass Effects in the Improved Ladder Bethe-Salpeter Amplitudes
• Instanton Effects in QCD Sum Rules for the $0^{++}$ Hybrid
• Anomalous quark-gluon chromomagnetic interaction and high energy $\rho$-meson electroproduction
• Electric charge catalysis by magnetic fields and a nontrivial holonomy
• Lattice QCD at finite temperature: Evidence for calorons from the eigenvectors of the Dirac operator
• Diquark in Nona-quark States
• Universal scale factors relating mesonic fields and quark operators
• Building imaginary-time thermal field theory with artificial neural networks
• Tunneling in cosine potential with periodic boundary conditions
• Gauge and Scalar Fields on ${\mathbb{CP}}^2$: A Gauge-invariant Analysis I. The effective action from chiral scalars
• Lepton decay constants of light mesons
• Confining gauge fields
• Instanton-Induced Correlations in Hadrons
• Do Instantons and Strings Cluster when the Number of Colors is Large?
• QCD instantons in high energy diffractive scattering: Instanton model of Pomeron
• Double Spin Asymmetries through QCD Instantons
• Probing Wilson Loops in the QCD Instanton Vacuum
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
• Future physics with polarized ep-colliders
• Vacuum and thermal fluctuation energies of a soliton at finite temperatures
• Holographic spectroscopy of fermion with instantons
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• A Potential Model Study of the Nucleon's Charge and Mass Radius
• Gluons, Heavy and Light Quarks in the QCD Vacuum
• Instanton dominance over ${\alpha }_s$ at low momenta from lattice QCD simulations at $N_f=0$, $N_f=2+1$ and $N_f=2+1+1$
• An Instanton Picture O.P.E. <A^2> Condensate?
• Axial Vector Current and Coupling of the Quark in the Instanton Model
• Instantons in the nonperturbative QCD vacuum
• The Lifetime of the Electric Flux Tubes near the QCD Phase Transition
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules
• The worldvolume fermion as baryon in holographic QCD with instanton
• Nonperturbative contributions to the quark form factor at high energy
• Deconfining by Winding: The Magnetic Monopole Vacua at High Temperatures
• Can instantons saturate the large mass of the ${\eta }^{\prime }$ meson in the chiral limit?
• Dirac spectrum and chiral condensate for QCD at fixed $\theta$-angle
• Quark induced excitations of the instanton liquid
• From Static Potentials to High-Energy Scattering
• Distribution law of the Dirac eigenmodes in QCD
• Prospects of `Topologically Unquenched QCD' from a study of the analogous importance sampling method in the massive Schwinger model
• Baryon correlators containing different diquarks from lattice simulations
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• Knot topology in QCD
• Mechanism of skyrmion condensation and pairing for twisted bi-layer graphene
• Instanton-Induced Polarization in Exclusive Hyperon Photoproduction
• Connecting the Chiral and Heavy Quark Limits : Full Mass Dependence of Fermion Determinant in an Instanton Background
• Study of some local and global $U(1)$ axial condensates in QCD at finite temperature
• QCD-Instantons at HERA -- An Introduction
• An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature
• Understanding light scalar meson by color-magnetic wavefunction in QCD sum rule
• Emergent Kink Statistics at Finite Temperature
• Shrinking fermionic modes, on the lattice and in the continuum
• Searching for QCD-Instantons at HERA
• Chiral symmetry breaking, instantons and the ultimate quenched calculation
• Quantum Interactions Between Non-Perturbative Vacuum Fields
• Topological Structure of the QCD Vacuum Revealed by Overlap Fermions
• How Self-Dual is QCD?
• Comments on the Chiral Symmetry Breaking in Soft Wall Holographic QCD
• Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional
• Calculation of the Chiral Lagrangian Coefficients
• Instanton vacuum at finite density of quark matter
• Tunneling with physics-informed RG flows in the anharmonic oscillator
• The phase diagram of QCD with two and four flavors: results with HYP fermions
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Multiinstantons in curvilinear coordinates
• Probing the QCD vacuum with overlap fermions
• Alternative Perspective on Quantum Tunneling and Instantons
• Phase diagram of neutron star quark matter in nonlocal chiral models
• Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Pion and kaon structures from the instanton vacuum
• Reanalysis the pentaquark ${\Theta }^{+}(1540)$ in the framework of QCD sum rules approach with direct instantons
• The adjoint potential in the pseudoparticle approach: string breaking and Casimir scaling
• Coherent structures in a turbulent environment
• Parton distributions and $\cos 2{\varphi }_h$ asymmetry induced by anomalous photon-quark coupling
• No Net Charge Separation in Hot QCD in a Magnetic Field
• Single-spin asymmetries in SIDIS induced by anomalous gluon-quark and photon-quark couplings
• Possible scenario of dynamical chiral symmetry breaking in the interacting instanton liquid model
• From Hard to Soft Diffraction and Return
• The chiral phase transition and equation of state in the chiral imbalance
• Cosmic Microwave Background as a thermal gas of SU(2) photons: Implications for the high-z cosmological model and the value of $H_0$
• Confinement of Fermions in Tachyon Matter at Finite Temperature
• Testing the Instanton Approach to the Large Amplification Limit of a Diffraction-Amplification Problem
• Synthetic Turbulence via an Instanton Gas Approximation
• Extracting the Pomeron-Pomeron Cross Section from Diffractive Mass Spectra
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
• Non-local quark models for description of dense matter in the cores of neutron stars
• Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
• QCD strings and the U(1) problem
• Chirally improved Dirac operators: Studying the sensitivity to topological excitations for zero and finite temperature
• Parity Odd Domain Structure with Generalized $\theta$ Vacuum
• Instanton fermionic zero mode at finite temperature and chemical potential
• Well-separated soliton-antisoliton pairs with an adjoint Higgs field in 4D space
• Instantons and quark zero modes in AdS/QCD
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• QCD topology using scale controlled cooling: Densities and cooling invariant observables
• Heavy pseudoscalar-meson decay constants with strangeness from the extended nonlocal chiral-quark model
• SU(2) Yang-Mills thermodynamics: a priori estimate and radiative corrections
• Quark-gluon mixed condensate for the SU(2) light-flavor sector at finite temperature
• Exact Multi-Instanton Solutions to Selfdual Yang-Mills Equation on Curved Spaces
• Meson Correlators at Finite Temperature
• Cosmology from Strong Interactions
• A phenomenological description on an incoherent Fermi liquid near optimal doping in high T_{c} cuprates
• The One-Loop QCD $\beta$-Function as an Index
• Calculation of renormalized fermion effective actions in radially symmetric non-Abelian backgrounds
• Probing QCD instantons using jet correlation observables in proton-proton collisions at the LHC
• Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD
• Mean Field, Instantons and Finite Baryon Density
• Axial U(1) and spontaneous chiral symmetry breaking within a confining model of the QCD vacuum
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields
• Instanton induced spin-spin correlations
• Monopole and instanton effects on connected and disconnected correlations for scalar density
• Mass spectra of heavy mesons with instanton effects
• Cosmology of Gravi-Axions
• Fractional topological charges and the lowest Dirac modes
• Studying the role of the 't Hooft interaction in QCD, by means of lattice simulations
• Chiral condensate, quark charge and chiral density
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions
• Squeezed condensate of gluons and the mass of the eta'
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• Instantons in non-Cartesian coordinates
• Gluonic Distribution in the Constituent Quark and Nucleon Induced by the Instantons
• Instanton effective action formalism for 2-point and 4-point functions
• Weak Scale Triggers in the SMEFT
• Estimating ${\chi }_{\mathrm{top}}$ Lattice Artifacts from Flowed SU(2) Calorons
• Instantons in curvilinear coordinates
• Topology and chiral symmetry breaking in QCD
• Chirality tubes along monopole trajectories
• Study of instanton effects in electromagnetic quark form factor at high energy
• Analysis of $\rho$ condensation in a Nambu-Jona-Lasinio model
• Chiral Symmetry Breaking in 2+1 dimensions due to Sphalerons
• XYZ mesons and Glueballs: effects of the quark-gluon mixing
• Instanton Effects in Hadron Spectroscopy Revisited
• QCD at Finite Density and Color Superconductivity
• 2+1 d Georgi Glashow Model Near Critical Temperature
• The sounds of the Little and Big Bangs
• Instanton Solution of a Nonlinear Potential in Finite Size
• Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered
• Topology and glueballs in SU(7) Yang-Mills with open boundary conditions
• Momentum space topology of QCD
• 2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge
• Axionic excitation from QCD Condensate
• Schwarzschild Instanton in Emergent Gravity
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD
• Different scenarios of dynamical chiral symmetry breaking in the interacting instanton liquid model via flavor symmetry breaking
• Chirality violating condensates in QCD and their connection with zero mode solutions of quark Dirac equations
• Large Fluctuations in Stochastic Models of Turbulence
• Instanton induced transverse single spin asymmetry for ${\pi }^0$ production in $pp$-scattering
• Light scalars as tetraquarks: decays and mixing with quarkonia
• Instantons and Monopoles for Nonperturbative QCD
• Dynamical gluon mass at non-zero temperature in instanton vacuum model
• Electromagnetic spectral functions in hot and dense chirally imbalanced quark matter
• ILM gluons in perturbative QCD
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case
• Meson spectroscopy in a confining theory via AdS/CFT
• Instanton-inspired Model of QCD Phase Transition and Bubble Dynamics
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature
• Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum
• Some words on the "phase transitions" in magnetic mesoscopic system
• Tamed Feynman-Kac diffusion processes: Killing-branching intertwine
• QCD condensates in ADS/QCD