Theta dependence of SU(N) gauge theories in the presence of a topological term

Abstract

We review results concerning the theta dependence of 4D SU(N) gauge theories and QCD, where theta is the coefficient of the CP-violating topological term in the Lagrangian. In particular, we discuss theta dependence in the large-N limit. Most results have been obtained within the lattice formulation of the theory via numerical simulations, which allow to investigate the theta dependence of the ground-state energy and the spectrum around theta=0 by determining the moments of the topological charge distribution, and their correlations with other observables. We discuss the various methods which have been employed to determine the topological susceptibility, and higher-order terms of the theta expansion. We review results at zero and finite temperature. We show that the results support the scenario obtained by general large-N scaling arguments, and in particular the Witten-Veneziano mechanism to explain the U(1)_A problem. We also compare with results obtained by other approaches, especially in the large-N limit, where the issue has been also addressed using, for example, the AdS/CFT correspondence. We discuss issues related to theta dependence in full QCD: the neutron electric dipole moment, the dependence of the topological susceptibility on the quark masses, the U(1)_A symmetry breaking at finite temperature. We also consider the 2D CP(N) model, which is an interesting theoretical laboratory to study issues related to topology. We review analytical results in the large-N limit, and numerical results within its lattice formulation. Finally, we discuss the main features of the two-point correlation function of the topological charge density.

A typo in Eq. (3.9) has been corrected. An additional subsection (5.2) has been inserted to demonstrate the nonrenormalizability of the relevant theta parameter in the presence of massive fermions, which implies that the continuum (a -> 0) limit must be taken keeping theta fixed

References in corpus (374)

• Large N Field Theories, String Theory and Gravity
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Critical Phenomena and Renormalization-Group Theory
• Axions In String Theory
• Low energy hadron physics in holographic QCD
• Instantons in QCD
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• The QCD transition temperature: results with physical masses in the continuum limit
• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• Renormalons
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• Non-perturbative O(a) improvement of lattice QCD
• Quantum Field Theory in the Large N Limit: a review
• The index theorem in QCD with a finite cut-off
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Exploring improved holographic theories for QCD: Part II
• The renormalization of the axial anomaly in dimensional regularization
• Exploring improved holographic theories for QCD: Part I
• The ratios of the light quark masses
• Locality properties of Neuberger's lattice Dirac operator
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Possibility of spontaneous parity violation in hot QCD
• The Strong CP Problem and Axions
• Infinite N phase transitions in continuum Wilson loop operators
• High-Precision Lattice QCD Confronts Experiment
• The transition temperature in QCD
• Perfect lattice action for asymptotically free theories
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• A new limit on the permanent electric dipole moment of ^{199}Hg
• Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Vector like gauge theories with almost massless fermions on the lattice
• Lattice QCD without tuning, mixing and current renormalization
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• The Unitarity Triangle Fit in the Standard Model and Hadronic Parameters from Lattice QCD: A Reappraisal after the Measurements of Delta m_s and BR(B to tau nu)
• QCD Thermodynamics with Three Flavors of Improved Staggered Quarks
• Lattice QCD on Small Computers
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• The high temperature phase transition in SU(N) gauge theories
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Properties of the deconfining phase transition in SU(N) gauge theories
• Exact chiral symmetry, topological charge and related topics
• Theta dependence of SU(N) gauge theories
• Scaled momentum distributions of charged particles in dijet photoproduction at HERA
• Perfect Lattice Actions for Quarks and Gluons
• A practical implementation of the Overlap-Dirac operator
• Topological susceptibility at zero and finite $T$ in SU(3) Yang-Mills theory
• Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• The nucleon axial charge in full lattice QCD
• Finite volume QCD at fixed topological charge
• The classically perfect fixed point action for SU(3) gauge theory
• Topology of the SU(2) vacuum: a lattice study using improved cooling
• Topological susceptibility in the SU(3) gauge theory
• Light hadron spectroscopy with two flavors of $O(a)$-improved dynamical quarks
• Eliminating leading corrections to scaling in the 3-dimensional O(N)-symmetric phi^4 model: N=3 and 4
• Non-perturbative quark mass renormalization in two-flavor QCD
• Lattice Perturbation Theory
• QCD at Fixed Topology
• A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
• Theta Vacua, QCD Sum Rules, and the Neutron Electric Dipole Moment
• A continuum limit of the chiral Jacobian in lattice gauge theory
• Topology and the axial anomaly in abelian lattice gauge theories
• Bounds on the Wilson Dirac Operator
• Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly
• Instantons from over-improved cooling
• Lattice QCD in the epsilon-regime and random matrix theory
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• The Massive Multi-flavor Schwinger Model
• Testing the fixed-point QCD action and the construction of chiral currents
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• Topological Structure of the SU(3) Vacuum
• Critical slowing down of topological modes
• Aspects of Chiral Symmetry and the Lattice
• Lattice QCD at Finite Temperature and Density
• Chirally Symmetric Phase of Supersymmetric Gluodynamics
• Hybrid Monte Carlo and topological modes of full QCD
• Proton Spin Structure from Lattice QCD
• On the nature of the finite-temperature transition in QCD
• QCD with light Wilson quarks on fine lattices (I): first experiences and physics results
• Instantons, the QCD Vacuum, and Hadronic Physics
• Scaling tests of the improved Kogut-Susskind quark action
• Spectral flow, condensate and topology in lattice QCD
• The deconfinement transition in SU(N) gauge theories
• Ginsparg-Wilson Relation and Ultralocality
• Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
• Topological effects in QCD and the problem of short-distance singularities
• The High Temperature Phase of QCD and {\boldmath $U(1{)}_A$} Symmetry
• Topological Structure in the SU(2) Vacuum
• Precision study of the SU(3) topological susceptibility in the continuum
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Topology of SU(N) gauge theories at T=0 and T=Tc
• Quark Masses and Chiral Symmetry
• $U_A(1)$ symmetry restoration in QCD with $N_f$ flavors
• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator
• Lattice QCD with two dynamical flavors of domain wall quarks
• The QCD vacuum
• Two flavor QCD and Confinement
• Nucleon axial charge from quenched lattice QCD with domain wall fermions
• Which Chiral Symmetry is Restored in High Temperature QCD?
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Chiral Condensate in the Deconfined Phase of Quenched Gauge Theories
• QCD at θ\sim π
• Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
• Instanton Content of the SU(3) Vacuum
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• Topological susceptibility in full QCD with Ginsparg-Wilson fermions
• Physics issues in simulations with dynamical overlap fermions
• The pressure of the SU(N) lattice gauge theory at large-N
• Target Independence of the Emc-SMC Effect
• k-string tensions in SU(N) gauge theories
• The electric dipole moment of the neutron in chiral perturbation theory
• Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator
• Lattice QCD with Ginsparg-Wilson fermions
• Aspects of QCD Dynamics from String Theory
• A simulation of the Schwinger model in the overlap formalism
• An Introduction to Chiral Symmetry on the Lattice
• Revealing Topological Structure in the SU(2) Vacuum
• Full QCD calculation of neutron electric dipole moment with the external electric field method
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Some more remarks on the Witten-Veneziano formula for the ${\eta }^{\prime }$ mass
• Finite-size Scaling of Meson Propagators
• Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• Finite-size-scaling functions for 3d O(4) and O(2) spin models and QCD
• Topological susceptibility in full QCD at zero and finite temperature
• Actions for dynamical fermion simulations: are we ready to go?
• Cooling and the SU(2) Instanton Vaccuum
• Instantons and Fixed Point Actions in SU(2) Gauge Theory
• Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory
• Soft QCD Dynamics of Elastic Scattering in Impact Parameter Representation
• New proposal for numerical simulations of theta-vacuum like systems
• The Negativity of the Overlap-Based Topological Charge Density Correlator in Pure-Glue QCD and the Non-Integrable Nature of its Contact Part
• Lattice QCD at High Temperature and Density
• Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory
• Topological Susceptibility of Yang-Mills Center Projection Vortices
• On the Local Structure of Topological Charge Fluctuations in QCD
• Off-Shell Dynamics of the O(3) Nonlinear Sigma-Model -- Beyond Monte-Carlo and Perturbation Theory
• The axial N to Delta transition form factors from Lattice QCD
• RENORMALONS FROM EIGHT LOOP EXPANSION OF THE GLUON CONDENSATE IN LATTICE GAUGE THEORY,
• The eta and eta' mesons in QCD
• The topological susceptibility of SU(3) gauge theory near T_c
• Neutron electric dipole moment with external electric field method in lattice QCD
• The Holographic Life of the eta'
• A numerical test of the continuum index theorem on the lattice
• Theta-dependence of the spectrum of SU(N) gauge theories
• Vacuum structure revealed by over-improved stout-link smearing compared with the overlap analysis for quenched QCD
• Axial vector current of exact chiral symmetry on the lattice
• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• Over-Improved Stout-Link Smearing
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Confinement, Supersymmetry Breaking and Theta Parameter Dependence in the Seiberg-Witten Model
• Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs
• Domain Walls and Decay Rate of the Excited Vacua in the Large N Yang-Mills Theory
• Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD
• Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice
• Anomalous Chiral Symmetry Breaking above the QCD Phase Transition
• Parity and CT realization in QCD
• Ambiguities in the up quark mass
• Cooling, Physical Scales and Topology
• Finite-Size Scaling of Vector and Axial Current Correlators
• The finite temperature QCD phase transition with domain wall fermions
• Properties of near-zero modes and chiral symmetry breaking
• Topology with Dynamical Overlap Fermions
• Approach to the Continuum Limit of the Quenched Hermitian Wilson-Dirac Operator
• Gauge invariant structures and Confinement
• Topological susceptibility of SU(N) gauge theories at finite temperature
• Inherently Global Nature of Topological Charge Fluctuations in QCD
• Improved Wilson QCD simulations with light quark masses
• On the mass spectrum of the two-dimensional O(3) sigma model with theta term
• Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
• Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms
• $\theta -$ Parameter in 2 Color QCD at Finite Baryon and Isospin Density
• Behaviour of the topological susceptibility in two colour QCD across the finite density transition
• Quenched mesonic spectrum at large N
• Determination of Light and Strange Quark Masses from Full Lattice QCD
• Phase Transitions in Softly Broken N=2 SQCD at Non-zero Theta Angle
• Improved lattice operators: the case of the topological charge density
• Topology, fermionic zero modes and flavor singlet correlators in finite temperature QCD
• Topological Charge and $U(1{)}_A$ Symmetry in the High Temperature Phase of QCD
• Lattice QCD and the Schwarz alternating procedure
• Anomalous Chiral Behavior in Quenched Lattice QCD
• Topological Charge Screening and the `Proton Spin' Beyond the Chiral Limit
• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
• In search of a Hagedorn transition in SU(N) lattice gauge theories at large-N
• Low-energy couplings of QCD from topological zero-mode wave functions
• The instanton vacuum of generalized $C{P}^{N-1}$ models
• Some Observations on Broken Symmetries
• Topology at zero and finite T in SU(2) Yang-Mills theory
• Study of CP(N-1) θ-Vacua by Cluster-Simulation of SU(N) Quantum Spin Ladders
• Non-perturbatively renormalised light quark masses from a lattice simulation with N_f=2
• Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term
• Witten-Veneziano from Green-Schwarz
• Topological susceptibility and string tension in the lattice CP(N) models
• Holographic U(1)_A and String Creation
• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• The axial anomaly of Ginsparg-Wilson fermion
• Exact Chiral Symmetry on the Lattice
• Topological susceptibility from the overlap
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• Topological susceptibility with the improved Asqtad action
• Instanton dominance of topological charge fluctuations in QCD?
• U(1) Axial Symmetry and Correlation Functions in the High Temperature Phase of QCD
• Locality and topology with fat link overlap actions
• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions
• Hadronic Correlation Functions in the Interacting Instanton Liquid
• An Eta Primer: Solving the U(1) Problem with AdS/QCD
• Scanning the Topological Sectors of the QCD Vacuum with Hybrid Monte Carlo
• Quark mass effects on the topological susceptibility in QCD
• The finite-temperature chiral transition in QCD with adjoint fermions
• Fixed Point Action and Topology in the CP^3 Model
• Laplacian modes probing gauge fields
• Flavour singlet pseudoscalar masses in N_f = 2 QCD
• QCD at Theta ~ Pi reexamined: domain walls and spontaneous CP violation
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• One flavor QCD
• Effects of the anomaly on the two-flavor QCD chiral phase transition
• Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks
• Can Theta/N Dependence for Gluodynamics be Compatible with 2 pi Periodicity in Theta ?
• QCD In Extreme Conditions
• Positivity and topology in lattice gauge theory
• Quantitative comparison of filtering methods in lattice QCD
• Lambda-parameter of lattice QCD with the overlap-Dirac operator
• Coherent Topological Charge Structure in $C{P}^{N-1}$ Models and QCD
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Are Topological Charge Fluctuations in QCD Instanton Dominated?
• A consistency check for Renormalons in Lattice Gauge Theory: beta^(-10) contributions to the SU(3) plaquette
• Confinement and the effective string theory in SU(N->oo) : a lattice study
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• The finite temperature QCD phase transition with domain wall fermions
• Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity
• Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
• CP(N-1) Models with Theta Term and Fixed Point Action
• Monte Carlo Studies of Two-Dimensional Systems with a $\theta$ Term
• Topology and chiral symmetry breaking in SU(N) gauge theories
• Probing for Instanton Quarks with epsilon-Cooling
• Monte Carlo simulation of lattice ${\mathrm{CP}}^{N-1}$ models at large N
• Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class
• Topology of full QCD
• Evidence for fractional topological charge in SU(2) pure Yang-Mills theory
• Comment on ``Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD''
• Pseudoscalar Meson Decay Constants and Couplings, the Witten-Veneziano Formula beyond large N_c, and the Topological Susceptibility
• A critical comparison of different definitions of topological charge on the lattice
• Charge fractionization in N=2 supersymmetric QCD
• Renormalization Group Flows from Holography--Supersymmetry and a c-Theorem
• Topology in 2D CP**(N-1) models on the lattice: a critical comparison of different cooling techniques
• Spatial Correlation of the Topological Charge in Pure SU(3) Gauge Theory and in QCD
• The Electric Dipole Moment of the Nucleons in Holographic QCD
• Heating and small-size instantons in the $O(3)\sigma$ model on the lattice
• The overlap lattice Dirac operator and dynamical fermions
• Topology at the Deconfinement Transition Uncovered by Inverse Blocking in SU(2) Pure Gauge Theory with Fixed Point Action
• The Euclidean two-point correlation function of the topological charge density
• Topological susceptibility in staggered fermion chiral perturbation theory
• Flavor Singlet Meson Mass in the Continuum Limit in Two-Flavor Lattice QCD
• Topology conserving gauge action and the overlap-Dirac operator
• The flavour singlet mesons in QCD
• The 't Hooft vertex revisited
• Lattice Perturbation Theory by Computer Algebra: A Three-Loop Result for the Topological Susceptibility
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Neutron Electric Dipole Moment on the Lattice: a Theoretical Reappraisal
• Progress in lattice algorithms
• Light hadron spectroscopy with two flavors of O(a) improved dynamical quarks
• CP, Charge Fractionalizations and Low Energy Effective Actions in the SU(2) Seiberg-Witten Theories with Quarks
• Instantons in QCD with Many Colors
• Which chiral symmetry is restored in hot QCD?
• Comparing lattice Dirac operators in smooth instanton backgrounds
• Dashen's Phenomenon in Gauge Theories with Spontaneously Broken Chiral Symmetries
• Exact Chiral Symmetry on the Lattice: QCD Applications
• QCD with two dynamical flavors of chirally improved quarks
• Scaling topological charge in the CP^3 spin model
• Theta-vacuum systems via real action simulations
• Quenched QCD at finite temperature with chiral Fermions
• Topological charge density renormalization in the presence of dynamical fermions
• Evidence for fine tuning of fermionic modes in lattice gluodynamics
• A Strong-Coupling Analysis of the Lattice $C{P}^{N-1}$ Models in the Presence of a $\theta$ Term
• On Field/String Theory Approach to Theta Dependence in Large N Yang-Mills Theory
• Large N gauge theories and AdS/CFT correspondence
• The interplay between mass, volume, θ, and <\psibarψ> in N-flavor QED_2
• Strong Non-Ultralocality of Ginsparg-Wilson Fermionic Actions
• The Neutron Electric Dipole Moment in the Instanton Vacuum: Quenched Versus Unquenched Simulations
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Topological Susceptibility on Dynamical Staggered Fermion Configurations
• Mesoscopic QCD and the Theta Vacua
• On Statistical Mechanics of Instantons in the CP^{N_c-1} Model
• Analyticity in theta on the lattice and the large volume limit of the topological susceptibility
• Topological tunneling with Dynamical overlap fermions
• Topology, fermionic zero modes and flavor singlet correlators in finite temperature QCD
• The topological susceptibility of QCD: from Minkowskian to Euclidean theory
• The spin content of the proton in quenched QCD
• Scaling behaviour at the $N_t=6$ chiral phase transition for 2-flavour lattice QCD with massless staggered quarks, and an irrelevant 4-fermion interaction
• Reviewing the problem of the U(1) axial symmetry and the chiral transition in QCD
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• Mass, Confinement and CP Invariance in the Seiberg-Witten Model"
• Renormalization group flow and fixed point of the lattice topological charge in the 2-d O(3) sigma-model
• QCD at Large $\theta$ Angle and Axion Cosmology
• Numerical study of lattice index theorem usingimproved cooling and overlap fermions
• Theta dependence of CP^9 model
• Topology and Low Lying Fermion Modes
• Theta-vacuum: Phase Transitions and/or Symmetry Breaking at $\theta =\pi$
• Chiral Dynamics
• Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions
• Universality of the Axial Anomaly in Lattice QCD
• Computing the eta and eta' Mesons in Lattice QCD
• Small Instantons in $C{P}^1$ and $C{P}^2$ Sigma Models
• Euclidean Correlation Functions in a Holographic Model of QCD
• On the index theorem for Wilson fermions
• On Theta Dependence of Glueballs from AdS/CFT
• Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator
• Instanton Content of the SU(3) Vacuum
• Scaling and topology in the 2-d O(3) $\sigma$-model on the lattice with the fixed point action
• The local structure of topological charge fluctuations in QCD
• Branes and Theta Dependence
• The clash of positivities in topological density correlators
• Fractionally charged Wilson loops as a probe of $\theta$-dependence in $C{P}^{N-1}$ sigma models: Instantons vs. large N
• Axial Anomaly and Index of the Overlap Hypercube Operator
• Topology in QCD
• Light Quark Effective Theory
• A construction of chiral fermion action
• On the existence of a first order phase transition at small vacuum angle $\theta$ in the $C{P}^3$ model
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Large-N gauge theories: lattice perspectives and conjectures
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• The $1/N$ expansion of two-dimensional spin models
• Relations Among Correlation Functions in the High Temperature Phase of QCD with Broken SU(3)
• Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
• Analysis of the Axial Anomaly on the Lattice with O(a)-improved Wilson Action
• The effects of an extra U(1) axial condensate on the radiative decay eta' --> gamma gamma at finite temperature
• Algorithms for dynamical overlap fermions
• Topological charge on the lattice: a field theoretical view of the geometrical approach
• Instanton classical solutions of SU(3) fixed point actions on open lattices
• Lattice Gauge Theories and the AdS/CFT Correspondence
• Discretisation effects in the topological susceptibility in lattice QCD
• A note on theta dependence
• Transiting topological sectors with the overlap
• CP-violating theta parameter in the domain model of the QCD vacuum
• Topological susceptibility in two-flavor QCD
• Instantons and the large N_c limit, A.D. 2004
• Testing the heating method with perturbation theory
• Topological Susceptibility and Zero Mode Size in Lattice QCD
• Chiral Anomalies and Topology
• On the Continuum Limit of Topological Charge Density Distribution
• Improved Wilson QCD simulations at light quark masses
• Topological Properties of the QCD Vacuum at T=0 and T ~ T_c
• Topological susceptibility in Yang-Mills theory in the vacuum correlator method
• Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice
• Light hadron spectrum with 2+1 flavor dynamical $O(a)$-improved Wilson quarks
• Chiral symmetry restoration and axial vector renormalization for Wilson fermions
• Instantons and the Large N_c Limit of QCD
• Topology and chiral symmetry in finite temperature QCD
• Quenching Effects in the Hadron Spectrum
• An estimate of the eta and eta-prime meson masses in Nf=2+1 lattice QCD
• Two flavor QCD and confinement - II
• Chiral symmetry on the lattice
• SU(N) gauge theories in the presence of a topological term
• Perturbation theory for O(3) topological charge correlators
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
• Susceptibility of Monte-Carlo Generated Projected Vortices
• The U(1)_A Anomaly and QCD Phenomenology
• Study of the topological vacuum structure of SU(2) gluodynamics at T > 0 with overlap fermions and improved action

Cited by in corpus (169)

• High density QCD on a Lefschetz thimble?
• Thermodynamics of the QCD plasma and the large-N limit
• SU(N) gauge theories at large N
• Holography and Thermodynamics of 5D Dilaton-gravity
• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Topologically induced local P and CP violation in QCD x QED
• The cosmological constant from the QCD Veneziano ghost
• Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
• Monte Carlo simulations on the Lefschetz thimble: taming the sign problem
• Improved Holographic QCD
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Inverse magnetic catalysis induced by sphalerons
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• Lattice QCD input for axion cosmology
• Thermal Transport and Drag Force in Improved Holographic QCD
• Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Theta dependence, sign problems and topological interference
• Non-Abelian Dark Forces and the Relic Densities of Dark Glueballs
• Critical behavior of lattice Schwinger model with topological term at $\theta =\pi$ using Grassmann tensor renormalization group
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Change of theta dependence in 4D SU(N) gauge theories across the deconfinement transition
• Dissecting the string theory dual of QCD
• Topology in full QCD at high temperature: a multicanonical approach
• Theta dependence of the deconfinement temperature in Yang-Mills theories
• Holographic QCD with Dynamical Flavors
• Contact Term, its Holographic Description in QCD and Dark Energy
• Generalization of the Haldane conjecture to SU(3) chains
• Topological charge using cooling and the gradient flow
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Metropolis Monte Carlo on the Lefschetz thimble: application to a one-plaquette model
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• Cosmological Bounds on Non-Abelian Dark Forces
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• Phase diagram of Yang-Mills theories in the presence of a theta term
• The high temperature CP-restoring phase transition at theta = pi
• The 4D SU(3) gauge theory with an imaginary theta term
• Introductory lectures to large-N QCD phenomenology and lattice results
• The CP-odd sector and $\theta$ dynamics in holographic QCD
• Topological Lattice Actions
• The Chern-Simons Diffusion Rate in Improved Holographic QCD
• Topology and axions in QCD
• Susceptibility of the QCD vacuum to CP-odd electromagnetic background fields
• Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Topological critical slowing down: variations on a toy model
• Models of three-dimensional fractional topological insulators
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Notes on Theta Dependence in Holographic Yang-Mills
• Theta dependence in Holographic QCD
• $\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study
• Axial current generation by P-odd domains in QCD matter
• On Classification of QCD defects via holography
• Theta vacuum effects on QCD phase diagram
• Exploring the Universe with Dark Light Scalars
• Topological properties of $C{P}^{N-1}$ models in the large-$N$ limit
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order
• Chiral perturbation theory in a theta vacuum
• Finding the Strong CP problem at the LHC
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Color dependence of the topological susceptibility in Yang-Mills theories
• Flag manifold sigma models: spin chains and integrable theories
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• The Myriad Uses of Instantons
• $\theta$-dependence and center symmetry in Yang-Mills theories
• Remarks on the U(1) axial symmetry and the chiral transition in QCD at finite temperature
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• Ergodic sampling of the topological charge using the density of states
• Possible formation of high temperature superconductor at early stage of heavy-ion collisions
• Lepton Electric Dipole Moment and Strong CP Violation
• Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology
• Vacuum structure of Yang-Mills theory as a function of $\theta$
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations
• Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
• Accessing the topological susceptibility via the Gribov horizon
• Topology via Spectral Projectors with Staggered Fermions
• Geometric Algorithm for Abelian-Gauge Models
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Topology and $\theta$ dependence in finite temperature $G_2$ lattice gauge theory
• Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
• Emergent/Composite axions
• Analysis on nonperturbative flavor violation at chiral crossover criticality in QCD
• Chiral symmetry breaking with no bilinear condensate revisited
• The Relaxion Measure Problem
• Progress in numerical simulations of systems with a $\theta -$vacuum like term: The two and three-dimensional Ising model within an imaginary magnetic field
• Holographic heavy-baryons in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Conformal window in QCD for large numbers of colours and flavours
• Theta term in a bounded region
• Study of the interactions of the axion with mesons and photons using a chiral effective Lagrangian model
• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$
• Massive Schwinger model at finite $\theta$
• Quark mass dependence of two-flavor QCD
• Baryon Asymmetric Universe from Spontaneous CP Violation
• Theta-vacuum and large N limit in CP^{N-1} sigma models
• Recent results in large-N lattice gauge theories
• Schwinger Mechanism with Stochastic Quantization
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Study of the theta dependence of the vacuum energy density in chiral effective Lagrangian models at zero temperature
• Lattice QCD at nonzero temperature and density
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Gravitational waves and primordial black holes from chirality imbalanced QCD first-order phase transition with $\mathcal{P}$ and $\mathcal{C}\mathcal{P}$ violation
• Two-dimensional multicomponent Abelian-Higgs lattice models
• Topological susceptibility of $2d{\mathrm{CP}}^1$ or $\mathrm{O}(3)$ non-linear $\sigma$-model: is it divergent or not?
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• QCD axion and topological susceptibility in chiral effective Lagrangian models at finite temperature
• Topology in the SU(N_f) chiral symmetry restored phase of unquenched QCD and axion cosmology II
• QCD $\theta$-vacua from the chiral limit to the quenched limit
• Axion RG flows and the holographic dynamics of instanton densities
• Strongly coupled QFT dynamics via TQFT coupling
• Neutron electric dipole moment from gauge/string duality
• Topological Susceptibility in a Uniform Magnetic Field
• Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term
• Dark Matter from Dark Glueball Dominance
• $\theta$-dependence in the small-$N$ limit of $2d$ $C{P}^{N-1}$ models
• Topological features of the deconfinement transition
• QCD topology and axion properties in an isotropic hot and dense medium
• Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background
• Adaptive gauge cooling for complex Langevin dynamics
• The D4/D8 model and holographic QCD
• The topological properties of QCD at high temperature: problems and perspectives
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Holographic theories at finite $\theta$-angle, CP-violation, glueball spectra and strong-coupling instabilities
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• Holographic ${\mathrm{QCD}}_3$ and Chern-Simons theory from anisotropic supergravity
• The theta-dependent Yang-Mills theory at finite temperature in a holographic description
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Holographic Schwinger effect in the confining background with D-instanton
• Aspects of the QCD $\theta$-vacuum
• Complex Langevin dynamics for SU(3) gauge theory in the presence of a theta term
• Topological charge and cooling scales in pure SU(2) lattice gauge theory
• Resurgence and Dynamics of O(N) and Grassmannian Sigma Models
• Topological susceptibility and fourth cumulant in a uniform magnetic field
• Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton
• Complex Langevin analysis of 2D U(1) gauge theory on a torus with a $\theta$ term
• Dominance of a single topological sector in gauge theory on non-commutative geometry
• A practical solution to the sign problem at finite theta-vacuum angle
• Renormalization of the Nonlinear O(3) Model with Theta-Term
• Practical approach to the sign problem at finite theta-vacuum angle
• Theta dependence of 4D SU(N) gauge theories at finite temperature
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• Composite heavy axion-like dark matter
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Spontaneous CP violation and the strong CP problem
• The worldvolume fermion as baryon in holographic QCD with instanton
• QCD transition at the physical point, and its scaling window from twisted mass Wilson fermions
• Holographic spectroscopy of fermion with instantons
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Deconfinement Phase Transition in Hot and Dense QCD at Large N
• Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory
• Unified Functional-Holographic Theory of the QCD Critical End Point
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Gliding down the QCD transition line, from $N_f=2$ till the onset of conformality
• Topology of trace deformed Yang-Mills theory
• The Leutwyler-Smilga relation on the lattice
• Estimates of Scaling Violations for Pure SU(2) LGT
• Simulating a CP-violating topological term in gauge theories
• Topological susceptibility in the SU(3) random vortex world-surface model
• Topological properties of the SU(3) random vortex world-surface model
• Scale Setting and Topological Observables in Pure SU(2) LGT
• Dynamical gauge fields and anomalous transport at strong coupling
• Theta dependence in the large N limit