Many avatars of the Wilson fermion: A perturbative analysis

Abstract

We explore different branches of the fermion doublers with Wilson fermion in perturbation theory, in the context of additive mass renormalization and chiral anomaly, and show that by appropriately averaging over suitably chosen branches one can reduce cut-off artifacts. Comparing the central branch with all other branches, we find that the central branch, among all the avatars of the Wilson fermion, is the most suitable candidate for exploring near conformal lattice field theories.

10 pages, 5 figures, one reference added, accepted for publication in JHEP

References in corpus (3)

• Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms
• Conformal Window and Correlation Functions in Lattice Conformal QCD
• Effect of r averaging on Chiral Anomaly in Lattice QCD with Wilson Fermion: Finite volume and cutoff effects

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• Equivalence of lattice operators and graph matrices
• Minimal-doubling and single-Weyl Hamiltonians
• Topological properties of minimally doubled fermions in two space-time dimensions