New Ways to Determine Low-Energy Constants with Wilson Fermions

Abstract

We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite volume. The methods are demonstrated in simulations with leading-order improved Wilson fermions. In addition to the expected suppression of the leading term in Wilson chiral perturbation theory we observe a substantial reduction also of the higher-order Wilson low-energy constants.

8 pages, 6 figures, references added, version to appear in Phys. Rev. D

References in corpus (9)

• Lattice QCD at the physical point: light quark masses
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• The epsilon regime with Wilson fermions
• Observations on the Wilson fermions in the epsilon regime
• Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Improvement via hypercubic smearing in triplet and sextet QCD
• Localized eigenmodes of the overlap operator and their impact on the eigenvalue distribution
• Individual Eigenvalue Distributions for the Wilson Dirac Operator

Cited by in corpus (12)

• The scalar pion form factor in two-flavor lattice QCD
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Spectral Properties of the Wilson Dirac Operator and random matrix theory
• Random Matrix Theory and Quantum Chromodynamics
• Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors
• Chiral Dynamics With Wilson Fermions
• Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories
• Wilson chiral perturbation theory, Wilson-Dirac operator eigenvalues and clover improvement
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
• Universal Broadening of Zero Modes: A General Framework and Identification
• The Effect of the Low Energy Constants on the Spectral Properties of the Wilson Dirac Operator
• New term in effective field theory at fixed topology