Chiral Symmetry Breaking on the Lattice

Abstract

We review important aspects of QCD in the continuum and on the lattice and take a look at the fate of its symmetries with an emphasis on chiral symmetry breaking on the lattice.

arXiv comment5 figures added

References in corpus (200)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Instantons in QCD
• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The phase diagram of dense QCD
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• The QCD transition temperature: results with physical masses in the continuum limit
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Properties and uses of the Wilson flow in lattice QCD
• A construction of lattice chiral gauge theories
• The QCD phase diagram for external magnetic fields
• The QCD transition temperature: results with physical masses in the continuum limit II.
• More about exactly massless quarks on the lattice
• Axial symmetries in lattice QCD with Kaplan fermions
• Non-perturbative O(a) improvement of lattice QCD
• The Confinement Problem in Lattice Gauge Theory
• The index theorem in QCD with a finite cut-off
• Infrared Properties of QCD from Dyson-Schwinger equations
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Locality properties of Neuberger's lattice Dirac operator
• On the infrared behavior of Landau gauge Yang-Mills theory
• Review of lattice results concerning low energy particle physics
• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Periodic Instantons with non-trivial Holonomy
• Domain wall QCD with physical quark masses
• Quark Confinement from Color Confinement
• Instantons at work
• Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
• The equation of state in lattice QCD: with physical quark masses towards the continuum limit
• The Three-Loop Free Energy for Pure Gauge QCD
• The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
• Quarkyonic Chiral Spirals
• On the relevance of center vortices to QCD
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• The strange quark mass and Lambda parameter of two flavor QCD
• On the relation of quark confinement and chiral symmetry breaking
• Chiral symmetry and the Yang--Mills gradient flow
• Hadron Properties and Dyson-Schwinger Equations
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Testing improved actions for dynamical Kogut-Susskind quarks
• A practical implementation of the Overlap-Dirac operator
• Exact T-duality between Calorons and Taub-NUT spaces
• The pion: an enigma within the Standard Model
• Lattice QCD at non-zero temperature
• Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
• Center Projection Vortices in Continuum Yang-Mills Theory
• Confinement versus Chiral Symmetry
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• The Chiral Critical Point in 3-Flavour QCD
• Baryonic Correlation Functions in the Random Instanton Vacuum
• The gradient flow coupling in the Schrödinger Functional
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Studying the gradient flow coupling in the Schrödinger functional
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Approximate Ginsparg-Wilson fermions: A first test
• Stability of lattice QCD simulations and the thermodynamic limit
• Low-energy couplings of QCD from current correlators near the chiral limit
• Where is the chiral critical point in 3-flavor QCD?
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Parity doublets and chiral symmetry restoration in baryon spectrum
• Linking confinement to spectral properties of the Dirac operator
• Improving meson two-point functions in lattice QCD
• Index theorem for topological excitations on R^3 * S^1 and Chern-Simons theory
• Ginsparg-Wilson Relation and Ultralocality
• Center Vortex Model for the Infrared Sector of SU(3) Yang-Mills Theory - Confinement and Deconfinement
• Perspective on the origin of hadron masses
• Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
• Center vortices of Yang-Mills theory at finite temperatures
• Center vortex model for the infrared sector of Yang-Mills theory - Confinement and Deconfinement
• Topology of Center Vortices
• Center vortex model for the infrared sector of Yang-Mills theory - Topological Susceptibility
• Vortices and confinement at weak coupling
• A search for inverse magnetic catalysis in thermal quark-meson models
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Mesonic Correlation Functions in the Random Instanton Vacuum
• Quark Confinement: The Hard Problem of Hadron Physics
• SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations
• The Chiral Magnetic Effect and chiral symmetry breaking in SU(3) quenched lattice gauge theory
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• Does one observe chiral symmetry restoration in baryon spectrum?
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• Chiral multiplets of excited mesons
• Complex Langevin dynamics and other approaches at finite chemical potential
• Pion distribution amplitude from lattice-QCD
• Linking the chiral and deconfinement phase transitions
• The Role of Center Vortices in QCD
• Chiral magnetic effect and anomalous transport from real-time lattice simulations
• Chiral Limit of Strongly Coupled Lattice Gauge Theories
• Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
• An Introduction to Chiral Symmetry on the Lattice
• Center Vortices and the Dirac Spectrum
• Microscopic Structure of Magnetic Bions
• New findings for topological excitations in SU(3) lattice gauge theory
• Center vortex model for the infrared sector of Yang-Mills theory - Quenched Dirac spectrum and chiral condensate
• 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
• Confinement from Center Vortices: A review of old and new results
• Parity Doubling Among the Baryons
• Lattice QCD Simulations in External Background Fields
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Complete spectra of the Dirac operator and their relation to confinement
• Determination of the chiral condensate from 2+1-flavor lattice QCD
• A QCD chiral critical point at small chemical potential: is it there or not?
• On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)
• Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
• Quark Propagation in the Random Instanton Vacuum
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass
• Center Vortices and Chiral Symmetry Breaking in SU(2) Lattice Gauge Theory
• Algebraic Generalization of the Ginsparg-Wilson Relation
• Chiral condensate from the twisted mass Dirac operator spectrum
• On the particle spectrum and the conformal window
• Parity Doubling and SU(2)_L x SU(2)_R Restoration in the Hadron Spectrum
• The QCD trace anomaly
• Double-winding Wilson loops and monopole confinement mechanisms
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Thermodynamics of strong coupling 2-color QCD with chiral and diquark condensates
• Multi-monopoles and Magnetic Bags
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• Spectral density of the Dirac operator in two-flavour QCD
• Fermionic boundary conditions and the finite temperature transition of QCD
• Confinement in Polyakov Gauge
• Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• The quark mass and $\mu$ dependence of the QCD chiral critical point
• On the spectrum of the Faddeev-Popov operator in topological background fields
• Chiral Symmetry Breaking on the Lattice
• Color Dynamics in External Fields
• Fractional instantons and bions in the principal chiral model on ${\mathbb{R}}^2\times S^1$ with twisted boundary conditions
• Chiral symmetry breaking in QCD Lite
• The chirally improved quark propagator and restoration of chiral symmetry
• Gluon propagator on a centre-vortex background
• Confinement, chiral symmetry, and the lattice
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Three dimensional vacuum domains in four dimensional SU(2) gluodynamics
• Gluons at finite temperature in Landau gauge Yang--Mills theory
• QCD dynamics in a constant chromomagnetic field
• Colorful SU(2) center vortices in the continuum and on the lattice
• Critical analysis of topological charge determination in the background of center vortices in SU(2) lattice gauge theory
• Coherent center domains from local Polyakov loops
• The gradient flow running coupling scheme
• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
• On topological properties of vacuum defects in lattice Yang-Mills theories
• Improving meson two-point functions by low-mode averaging
• Exact Chiral Symmetry on the Lattice: QCD Applications
• The phase diagram of N_f=3 QCD for small baryon densities
• Probing the infrared quark mass from highly excited baryons
• Locality Properties of a New Class of Lattice Dirac Operators
• Evidence for a negative-parity spin-doublet of nucleon resonances at 1.88\,GeV
• Random Matrix Theory and Quantum Chromodynamics
• Confinement from Instantons or Merons
• Topological objects in QCD
• The Analysis of Space-Time Structure in QCD Vacuum I: Localization vs Global Behavior in Local Observables and Dirac Eigenmodes
• A model of random center vortex lines in continuous 2+1-dimensional space-time
• An overview of (selected) recent results in finite-temperature lattice QCD
• Center Vortices, Area Law and the Catenary Solution
• Low-dimensional long-range topological structure in the QCD vacuum
• Visualisations of coherent centre domains in local Polyakov loops
• Confining Bond Rearrangement in the Random Center Vortex Model
• Spontaneous Chiral Symmetry Breaking as Condensation of Dynamical Chirality
• Effective chiral restoration in the hadronic spectrum and QCD
• Confining Effective Theories Based on Instantons and Merons
• Phases and properties of quark matter
• Dual condensate and QCD phase transition
• New Instanton Solutions at Finite Temperature
• Chiral Symmetry Breaking and Chiral Polarization: Tests for Finite Temperature and Many Flavors
• Transport coefficients and quark-hadron phase transition(s) from PLSM in vanishing and finite magnetic field
• Static quark-antiquark potential and Dirac eigenvector correlators
• Dual condensate, dressed Polyakov loops and center symmetry from Dirac spectra
• Update on Nf=3 finite temperature QCD phase structure with Wilson-Clover fermion action
• Staggered chiral perturbation theory in the two-flavor case and SU(2) analysis of the MILC data
• Effects of the low lying Dirac modes on excited hadrons in lattice QCD
• Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner
• The Analysis of Space-Time Structure in QCD Vacuum II: Dynamics of Polarization and Absolute X-Distribution
• Spin chain simulations with a meron cluster algorithm
• A novel probe of the vacuum of the lattice gluodynamics
• Chiral symmetry restoration at large chemical potential in strongly coupled SU(N) gauge theories
• A hidden classical symmetry of QCD
• QCD in a Finite Volume
• Smearing Center Vortices
• Interplay between chiral and deconfinement phase transitions
• Chiral and angular momentum content of mesons
• Chiral symmetry in $SU(N_c)$ gauge theories at high density
• On the universal critical behavior in 3-flavor QCD
• Chiral polarization scale of QCD vacuum and spontaneous chiral symmetry breaking
• Confinement, chiral symmetry breaking and the mass generation of hadrons
• Four Flavor Finite Temperature Phase Transition with HYP Action: Where is the First Order Phase Transition Line?
• Yang-Mills streamlines and semi-classical confinement
• Dressed Polyakov loops and center symmetry from Dirac spectra
• Chiral Fermions on the Lattice
• Topological and magnetic properties of the QCD vacuum probed by overlap fermions
• Exploring the transition into the Chiral Regime of QCD using the Interacting Instanton Liquid Model
• Confinement and chiral symmetry breaking, one or two critical points?
• Confining but chirally symmetric dense and cold matter
• Dynamical Local Chirality and Chiral Symmetry Breaking

Cited by in corpus (13)

• Chiral Symmetry Breaking on the Lattice
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Dark matter relic density in strongly interacting dark sectors with light vector mesons
• Composite Dark Matter with Forbidden Annihilation
• Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• Investigation of the ensemble of maximal center gauge
• Improving center vortex detection by usage of center regions as guidance for the direct maximal center gauge
• Comment on "Fractional topological charges and the lowest Dirac modes"
• A first analysis of the ensemble of local maxima of maximal center gauge
• Lattice Index Theorem and Fractional Topological Charge
• nonlocal quark condensate from Dyson-Schwinger Equation and its contributions to the gluon vacuum polarization based on OPE approach
• Fractional topological charges and the lowest Dirac modes