Topological susceptibility in staggered fermion chiral perturbation theory

Abstract

The topological susceptibility of the vacuum in quantum chromodynamics has been simulated numerically using the Asqtad improved staggered fermion formalism. At nonzero lattice spacing the residual fermion doublers (fermion ``tastes'') in the staggered fermion formalism give contributions to the susceptibility that deviate from conventional continuum chiral perturbation theory. In this brief report we estimate the taste-breaking artifact and compare it with results of recent simulations, finding that it accounts for roughly half of the scaling violation.

arXiv comment9 pp., 2 figs., submitted to Phys. Rev. D

References in corpus (5)

• High-Precision Lattice QCD Confronts Experiment
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Topological susceptibility with the improved Asqtad action
• Topological susceptibility in full QCD: lattice results versus the prediction from the QCD partition function with granularity

Cited by in corpus (17)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Scaling studies of QCD with the dynamical HISQ action
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Scalar Meson Spectroscopy with Lattice Staggered Fermions
• Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
• $|V_{us}|$ from $K_{\ell 3}$ decay and four-flavor lattice QCD
• Universality of Mixed Action Extrapolation Formulae
• Topological susceptibility with the asqtad action
• Order of the Chiral and Continuum Limits in Staggered Chiral Perturbation Theory
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Effects of non-equilibrated topological charge distributions on pseudoscalar meson masses and decay constants
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Mixed Action Simulations on Staggered Background; Interpretation and Result for the 2-flavor QCD Chiral Condensate
• Topological susceptibility with three flavors of staggered quarks