Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)

Abstract

These are lecture notes, which summarize the current status of the Semiclassical theory, as well as Monopoles, Instantons, Instanton-dyons and Flux tubes. The emphasis is on QCD and QCD-like theories (deformed QCD), although relevant points derived in Supersymmetric theories are also covered. While the actual lectures on which the notes are based were delivered in the fall 2018, the text evolved over the years and summarizes about 4 decades of development. One recent point added is the so called Poisson duality between monopoles and instanton-dyon approaches. It is made in a book format, with extensive list of references. Large size of the text have lead to many imperfections, which I hope to correct in future versions.

arXiv commentv2 significantly extend the material, in old chapters, and add new ones:, on light-front hadronic wave functions and on holographic QCD

References in corpus (137)

• The Chiral Magnetic Effect
• Wilson loops in large N field theories
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Instantons in QCD
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• QCD and a Holographic Model of Hadrons
• Linear Confinement and AdS/QCD
• Solutions Of Four-Dimensional Field Theories Via M Theory
• Observation of the chiral magnetic effect in ZrTe5
• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Diquark Bose Condensates in High Density Matter and Instantons
• Hard Scattering and Gauge/String Duality
• The origin of the matter-antimatter asymmetry
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• SU(2) Calorons and Magnetic Monopoles
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Monopole Constituents inside SU(n) Calorons
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• Self Gravitating Fundamental Strings
• High Density QCD and Instantons
• The hot baryon violation rate is $O({\alpha }_W^5{T}^4)$
• Deep inelastic scattering as a probe of entanglement
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• An Action for Black Hole Membranes
• Self-gravitating fundamental strings and black-holes
• Improved Holographic QCD
• Strongly coupled plasma with electric and magnetic charges
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• Coherent Nuclear Diffractive Production of Minijets - Illuminating Color Transparency
• Generating Non-perturbative Physics from Perturbation Theory
• Angular Dependence of Jet Quenching Indicates Its Strong Enhancement Near the QCD Phase Transition
• Quantum weights of dyons and of instantons with non-trivial holonomy
• The Azimuthal Asymmetry at large p_t seem to be too large for a ``Jet Quenching''
• Vacua, Propagators, and Holographic Probes in AdS/CFT
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• Polyakov loop in 2+1 flavor QCD from low to high temperatures
• Chern-Simons production during preheating in hybrid inflation models
• A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
• Magnetic Component of Quark-Gluon Plasma is also a Liquid!
• Finite size phase transitions in QCD with adjoint fermions
• Off-equilibrium sphaleron transitions in the Glasma
• Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
• QCD Inequalities
• Instanton-induced Effects in QCD High-Energy Scattering
• Corrections to Nambu-Goto energy levels from the effective string action
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Complexified path integrals, exact saddles and supersymmetry
• Topology and confinement
• Hidden topological angles and Lefschetz thimbles
• Mesonic Correlation Functions in the Random Instanton Vacuum
• Quark-Induced Correlations between Instantons Drive the Chiral Phase Transition
• Dense QCD: a Holographic Dyonic Salt
• Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
• Magnetic monopoles in the high temperature phase of Yang-Mills theories
• Thermal Monopole Condensation and Confinement in finite temperature Yang-Mills Theories
• Semiclassical Quantization of Effective String Theory and Regge Trajectories
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Glueball Regge Trajectories
• Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Instanton-induced Inelastic Collisions in QCD
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Dynamics of Flux Tubes in Large N Gauge Theories
• G_2 gauge theory at finite temperature
• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• Electric Flux Tube in Magnetic Plasma
• The role of monopoles in a Gluon Plasma
• Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model
• Evidence for Instanton-Induced Dynamics, from Lattice QCD
• Helicity in Proton-Proton Elastic Scattering and the Spin Structure of the Pomeron
• Monopole Vector Spherical Harmonics
• String Theory of the Regge Intercept
• Calorons, instantons and constituent monopoles in SU(3) lattice gauge theory
• Polyakov loop in 2+1 flavor QCD
• Distribution of Stress Tensor around Static Quark--Anti-Quark from Yang-Mills Gradient Flow
• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Quark Propagation in the Random Instanton Vacuum
• Forced Tunneling and Turning State Explosion in Pure Yang-Mills Theory
• Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate
• Understanding the Strong Coupling Limit of the $\mathcal{N}=4$ Supersymmetric Yang-Mills at Finite Temperature
• In search of a Hagedorn transition in SU(N) lattice gauge theories at large-N
• Confinement and Z_3 symmetry in three-flavor QCD
• Sizable CP Violation in the Bosonized Standard Model
• Prompt Quark Production by exploding Sphalerons
• New Regimes of Stringy (Holographic) Pomeron and High Multiplicity pp and pA Collisions
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
• Is Hyperon Polarization in Relativistic Heavy Ion Collisions Connected to Axial U(1) Symmetry Breaking at High Temperature?
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The Instanton Density at Finite Temperatures
• Effect of Light Fermions on the Confinement Transition in QCD-like Theories
• Zero Point Energy of Renormalized Wilson Loops
• The disorder parameter of dual superconductivity in QCD revisited
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Static $\bar{Q}Q$ Potentials and the Magnetic Component of QCD Plasma near $T_c$
• Spatial Correlation of the Topological Charge in Pure SU(3) Gauge Theory and in QCD
• Computing the temperature dependence of effective CP violation in the standard model
• Classical interactions of the instanton-dyons with antidyons
• Dyons near the transition temperature in lattice QCD
• Collective interaction of QCD strings and early stages of high multiplicity pA collisions
• Central Production of Eta and Eta-prime via Double Pomeron Exchange in the Sakai-Sugimoto Model
• Stress Tensor of Static Dipoles in strongly coupled $\mathcal{N}$=4 Gauge Theory
• Pomeron Interactions from the Einstein-Hilbert Action
• The topological objects near the chiral crossover transition in QCD
• Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory
• Wall Crossing and Instantons in Compactified Gauge Theory
• Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory I
• The Instanton-Dyon Liquid Model V: Twisted Light Quarks
• Baryogenesis and helical magnetogenesis from the electroweak transition of the minimal Standard Model
• Implication of Exact SUSY Gauge Couplings for QCD
• Collective String Interactions in AdS/QCD and High-Multiplicity pA Collisions
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. II
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Euclidean Correlation Functions in a Holographic Model of QCD
• The Role of QCD Monopoles in Jet Quenching
• Effective Model of QCD Magnetic Monopoles From Numerical Study of One- and Two-Component Coulomb Quantum Bose Gases
• The W-Z-Top Bags
• Instanton contribution to scalar charmonium and glueball decays
• Instanton-dyon Ensembles III: Exotic Quark Flavors
• Intersections 2000: What's New in Hadron Physics
• Dyons and Roberge - Weiss transition in lattice QCD
• Instanton effects on charmonium states
• Possible Role of the WZ-Top-Quark Bags in Baryogenesis
• QCD flux tubes across the deconfinement phase transition
• A Stringy (Holographic) Pomeron with Extrinsic Curvature
• Higher order string effects and the properties of the Pomeron
• A "Domain Wall" Scenario for the AdS/QCD
• Chiral symmetry breaking and monopoles in gauge theories
• Instantons in Deep-Inelastic Scattering
• CP violation during the electroweak sphaleron transitions

Cited by in corpus (8)

• Nucleon mass radii and distribution: Holographic QCD, Lattice QCD and GlueX data
• Notes on Confinement on ${\mathbf{R}}^3\times {\mathbf{S}}^1$: From Yang-Mills, super-Yang-Mills, and QCD(adj) to QCD(F)
• Heavy quark correlators in Instanton Liquid Model with perturbative corrections
• Testing a Conjecture On Quantum Chromodynamics
• Comments on "Three regimes of QCD" by L.Glozman
• Chiral Symmetry in the Confinement Phase of QCD
• Tensor supercurrent in QCD
• ILM gluons in perturbative QCD