Comment on "Chiral anomalies and rooted staggered fermions"

Abstract

In hep-lat/0701018, Creutz claims that the rooting trick used in simulations of staggered fermions to reduce the number of tastes misses key physics whenever the desired theory has an odd number of continuum flavors, and uses this argument to call into question the rooting trick in general. Here we show that his argument fails as the continuum limit is approached, and therefore does not imply any problem for staggered simulations. We also show that the cancellations necessary to restore unitarity in physical correlators in the continuum limit are a straightforward consequence of the restoration of taste symmetry.

arXiv comment11 pages, version 3 (4/13/07): Revisions to correspond to Creutz's latest posting, including a change in the title. Version to appear in Physics Letters B

References in corpus (24)

• The glueball spectrum from an anisotropic lattice study
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High-Precision Lattice QCD Confronts Experiment
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• Semileptonic decays of $D$ mesons in three-flavor lattice QCD
• Charmed meson decay constants in three-flavor lattice QCD
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Staggered eigenvalue mimicry
• First determination of the strange and light quark masses from full lattice QCD
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Scaling tests with dynamical overlap and rooted staggered fermions
• The Index Theorem and Universality Properties of the Low-lying Eigenvalues of Improved Staggered Quarks
• Observations on staggered fermions at non-zero lattice spacing
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Effects of staggered fermions and mixed actions on the scalar correlator
• Chiral anomalies and rooted staggered fermions
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach
• Breakdown of staggered fermions at nonzero chemical potential
• Lattice fermions with complex mass
• Order of the Chiral and Continuum Limits in Staggered Chiral Perturbation Theory

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