Many avatars of the Wilson fermion: A perturbative analysis

TL;DR

This paper analyzes various branches of Wilson fermions in perturbation theory, demonstrating that averaging over certain branches reduces artifacts and that the central branch is optimal for studying near conformal lattice field theories.

Contribution

It introduces a perturbative analysis of Wilson fermion branches, identifying the central branch as the best candidate for near conformal lattice field theory investigations.

Findings

Averaging over branches reduces cut-off artifacts.

The central branch is most suitable for near conformal studies.

Different branches exhibit distinct behaviors in additive mass renormalization.

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.