The standard model in Wilson lattice gauge theory

TL;DR

This paper demonstrates how the Standard Model's gauge groups and parity violation can be represented within Wilson lattice gauge theory, incorporating fermions and anomalies.

Contribution

It introduces a lattice formulation of the Standard Model that includes all gauge groups, fermions, and parity violation using Wilson gauge formalism.

Findings

Smooth mapping of the Standard Model onto Wilson lattice gauge theory.

Inclusion of full fermion generations and parity violation.

Observation of anomalies with rough gauge configurations.

Abstract

The $SU(3)\otimes SU(2) \otimes U(1)$ standard model maps smoothly onto a conventional Wilson lattice gauge formalism, including the parity violation of the weak interactions. The formulation makes use of the pseudo-reality of the weak group and requires the inclusion a full generation of both leptons and quarks. As in continuum discussions, chiral eigenstates of the Dirac operator generate known anomalies, although with rough gauge configurations these are no longer exact zero modes.