Testing the fixed-point QCD action and the construction of chiral currents

Abstract

We present the first set of quenched QCD measurements using the recently parametrized fixed-point Dirac operator D^FP. We also give a general and practical construction of covariant densities and conserved currents for chiral lattice actions. The measurements include (a) hadron spectroscopy, (b) corrections of small chiral deviations, (c) the renormalized quark condensate from finite-size scaling and, independently, spectroscopy, (d) the topological susceptibility, (e) small eigenvalue distributions and random matrix theory, and (f) local chirality of near-zero modes and instanton-dominance.

50 pages, 19 figures; misprints corrected, discussion on covariant densities extended, new appendix added

References in corpus (37)

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• Heavy quark physics from lattice QCD
• Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
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• Testing the self-duality of topological lumps in SU(3) lattice gauge theory
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• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
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• Instanton dominance of topological charge fluctuations in QCD?
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• Quark mass effects on the topological susceptibility in QCD
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• Topological Susceptibility in Lattice QCD with Two Flavors of Dynamical Quarks
• Light Hadron Weak Matrix Elements
• Dynamical Fermions with Fat Links
• Are Topological Charge Fluctuations in QCD Instanton Dominated?
• Scalar condensate and light quark masses from overlap fermions
• Topology and chiral symmetry breaking in SU(N) gauge theories
• Comment on ``Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD''
• Nonstandard Cutoff Effects in the Nonlinear Sigma Model
• Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
• Another determination of the quark condensate from an overlap action
• Topological Susceptibility on Dynamical Staggered Fermion Configurations
• First results from a parametrized Fixed-Point QCD action
• Light hadron spectroscopy in quenched lattice QCD with chiral Fixed-Point fermions
• Quenched divergences in the deconfined phase of SU(2) gauge theory
• Classically Perfect Gauge Actions on Anisotropic Lattices
• Cost-Effective Clustering
• Overlap and domain wall fermions: what is the price of chirality?
• Fast evaluation and locality of overlap fermions
• Topological Charge Fluctuations and Low-Lying Dirac Eigenmodes
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Cited by in corpus (78)

• FLAG Review 2019
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Chirally improving Wilson fermions - I. O(a) improvement
• Review of lattice results concerning low energy particle physics
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• Topological susceptibility in the SU(3) gauge theory
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Staggered eigenvalue mimicry
• Low-energy couplings of QCD from current correlators near the chiral limit
• Lattice QCD in the epsilon-regime and random matrix theory
• Quenched spectroscopy with fixed-point and chirally improved fermions
• Quark spins and Anomalous Ward Identity
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Operator product expansion and quark condensate from Lattice QCD in coordinate space
• Simulations with different lattice Dirac operators for valence and sea quarks
• Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
• The Index Theorem and Universality Properties of the Low-lying Eigenvalues of Improved Staggered Quarks
• Precision study of the SU(3) topological susceptibility in the continuum
• Equilibrium Statistical-Thermal Models in High-Energy Physics
• Light pseudoscalar mesons in a nonlocal SU(3) chiral quark model
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• An Introduction to Chiral Symmetry on the Lattice
• The Low-Lying Dirac Spectrum of Staggered Quarks
• Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
• Topological Lattice Actions
• Meson and Baryon dispersion relations with Brillouin fermions
• Spectral Properties of the Overlap Dirac Operator in QCD
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
• Topological susceptibility from the overlap
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• Locality and topology with fat link overlap actions
• On the renormalized scalar density in quenched QCD
• Heavy and Light Quarks with Lattice Chiral Fermions
• The epsilon regime with Wilson fermions
• Triviality and the Higgs mass lower bound
• Strange and Charm Quark Spins from Anomalous Ward Identity
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Scaling test of fermion actions in the Schwinger model
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Lattice calculation of low energy constants with Ginsparg-Wilson type fermions
• A numerical study of non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD
• Probing the fuzzy sphere regularisation in simulations of the 3d λϕ^4 model
• Phenomenology from lattice QCD
• Thermodynamics of the ideal overlap quarks on the lattice
• Simulating Full QCD with the Fixed Point Action
• Quark spectra and light hadron phenomenology from overlap fermions with improved gauge field action
• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
• Finite volume effects in chiral perturbation theory
• Exact Chiral Symmetry on the Lattice: QCD Applications
• The Analysis of Space-Time Structure in QCD Vacuum I: Localization vs Global Behavior in Local Observables and Dirac Eigenmodes
• Nonperturbative renormalization of composite operators with overlap fermions
• Nonperturbative renormalisation of composite operators with overlap quarks
• The epsilon regime with twisted mass Wilson fermions
• 2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors
• Testing chiral effective theory with quenched lattice QCD
• Axial Anomaly and Index of the Overlap Hypercube Operator
• Absence of evidence for pentaquarks on the lattice
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• A specific lattice artefact in non-perturbative renormalization of operators
• Large N_c in Chiral Resonance Lagrangians
• Machine-learned RG-improved gauge actions and classically perfect gradient flows
• Chiral measurements in quenched lattice QCD with Fixed Point fermions
• An Improved Single-Plaquette Gauge Action
• Matching effective chiral Lagrangians with dimensional and lattice regularization
• Lattice QCD and the Neutron Electric Dipole Moment
• Index Theorem and Random Matrix Theory for Improved Staggered Quarks
• The Index Theorem and Random Matrix Theory for Improved Staggered Quarks
• Topological susceptibility for the SU(3) Yang--Mills theory
• Chiral fermion operators on the lattice
• Improved Measure of Local Chirality
• Chiral symmetry on the lattice
• The Chiral Separation Effect in quenched finite-density QCD
• A Lattice Story of Proton Spin