Chiral symmetry and lattice fermions

2013/09/24 by Creutz, Michael · 3 citations
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1309.6288

Abstract

Lattice gauge theory and chiral perturbation theory are among the primary tools for understanding non-perturbative aspects of QCD. I review several subtle and sometimes controversial issues that arise when combining these techniques. Among these are one failure of partially quenched chiral perturbation theory when the valence quarks become lighter than the average sea quark mass and a potential ambiguity in comparisons of perturbative and lattice properties of non-degenerate quarks.

Cited by

• An inquiry into the Absence of Fermion Doubling and why the Nielsen-Ninomiya Theorem Does Not Apply to Nonlocal Quantum Field Theory
• Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
• To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories

Related

• Applications of Chiral Perturbation theory to lattice QCD
• Chiral symmetry and lattice gauge theory
• Baryons in/and Lattice QCD
• Applications of chiral perturbation theory to lattice QCD
• Exact Chiral Symmetry with a non-perturbative cutoff