Axial symmetries in lattice QCD with Kaplan fermions
Vadim Furman, Yigal Shamir
TL;DR
This paper provides a detailed lattice formulation of QCD using Kaplan's chiral defect fermions, clarifying the conditions under which axial symmetries become exact as the fifth dimension grows infinitely large.
Contribution
It offers a comprehensive lattice definition of QCD with Kaplan fermions and completes the proof of axial symmetry restoration in the infinite fifth dimension limit.
Findings
Axial symmetries become exact in the infinite fifth dimension limit.
Provides technical details missing in previous proofs.
Corrects minor errors in earlier formulations.
Abstract
This paper develops in detail a lattice definition of QCD based on the chiral defect fermions recently introduced by Kaplan. The revised version provides missing technical details in the proof that non-singlet axial symmetries become exact in the limit of an infinite fifth dimension. Also several minor errors are corrected.
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