Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions

Abstract

The chiral symmetry relation and scaling of the overlap fermions are studied numerically on the quenched lattices at 3 couplings with about the same physical volume. We find that the generalized Gell-Mann-Oakes-Renner relation is satisfied to better than 1% down to the smallest quark mass at $m_{0}a=0.006$. We also obtain the quark mass from the PCAC relation and the pseudoscalar masses. The renormalization group invariant quark mass is shown to be fairly independent of scale. The $\pi$ and $\rho$ masses at a fixed $m_{\pi }/m_{\rho }$ ratio indicate small $O(a^2)$ corrections. It is found that the critical slowing down sets in abruptly at a very small quark mass close to those of the physical u and d quarks.

8 pages, 5 figures, re-worked references and corrected minor typos

References in corpus (3)

• Quenched Light Hadron Spectrum
• Chiral fermions on the lattice
• Hadron Masses and Quark Condensate from Overlap Fermions

Cited by in corpus (45)

• Chirally improving Wilson fermions - I. O(a) improvement
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Strangeness and charmness content of nucleon from overlap fermions on 2+1-flavor domain-wall fermion configurations
• Roper Resonance and S_{11}(1535) from Lattice QCD
• A study of pentaquarks on the lattice with overlap fermions
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Magnetic polarizability of hadrons from lattice QCD in the background field method
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Deflated GMRES for Systems with Multiple Shifts and Multiple Right-Hand Sides
• Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
• Overlap Quark Propagator in Landau Gauge
• Leading Quenching Effects in the Proton Magnetic Moment
• Quark Contributions to Baryon Magnetic Moments in Full, Quenched and Partially Quenched QCD
• Chiral and Continuum Extrapolation of Partially-Quenched Lattice Results
• Chiral Logs in Quenched QCD
• Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
• Low-lying Odd-parity States of the Nucleon in Lattice QCD
• Convergence Rate and Locality of Improved Overlap Fermions
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• Excited baryons from Bayesian priors and overlap fermions
• Heavy and Light Quarks with Lattice Chiral Fermions
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• Deflated and restarted symmetric Lanczos methods for eigenvalues and linear equations with multiple right-hand sides
• Deflated Iterative Methods for Linear Equations with Multiple Right-Hand Sides
• Non-perturbative renormalization of overlap quark bilinears on 2+1-flavor domain wall fermion configurations
• Confinement, chiral symmetry, and the lattice
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
• Quenched QCD at finite temperature with chiral Fermions
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Continuum physics with quenched overlap fermions
• Nonperturbative renormalization of composite operators with overlap fermions
• Nonperturbative renormalisation of composite operators with overlap quarks
• Strangeness Content in the Nucleon
• Quenched divergences in the deconfined phase of SU(2) gauge theory
• Light quark masses in quenched QCD with exact chiral symmetry
• Physics prospects of UV-filtered overlap quarks
• Charmonium Spectrum from Quenched QCD with Overlap Fermions
• Speed and Adaptability of Overlap Fermion Algorithms
• Lattice QCD and the Neutron Electric Dipole Moment
• About the possibility of five-dimensional effective theories for low-energy QCD
• Pion Decay Constant, $Z_A$ and Chiral Log from Overlap Fermions
• Large scale simulations of lattice gauge theory: key NSF project of China and recent developments