Towards Weyl fermions on the lattice without artefacts

TL;DR

This paper addresses the challenge of formulating Weyl fermions on the lattice without artefacts, focusing on eliminating unwanted CP violation and undetermined weight factors through renormalization group techniques.

Contribution

It introduces a new approach to remove artefacts in lattice Weyl fermion formulations using renormalization group analysis, applicable to real representations.

Findings

Successful demonstration on Weyl fermions in real representations

Elimination of unwanted CP violation

Resolution of undetermined weight factors

Abstract

In spite of the breakthrough in non-perturbative chiral gauge theories during the last decade, the present formulation has stubborn artefacts. Independently of the fermion representation one is confronted with unwanted CP violation and infinitely many undetermined weight factors. Renormalization group identifies the culprit. We demonstrate the procedure on Weyl fermions in a real representation.