Dynamical Gauge Symmetry Breaking in Strongly Coupled Lattice Theories

TL;DR

This paper demonstrates that a strongly coupled lattice theory with fermions and gauge fields can spontaneously break gauge symmetry via a gauge-invariant four-fermion condensate, potentially persisting into the continuum limit.

Contribution

It introduces a novel mechanism for dynamical gauge symmetry breaking on the lattice through four-fermion condensates, suggesting a continuum limit relevance.

Findings

Gauge-invariant four-fermion condensate forms in the lattice theory.

The lattice Higgs phase may survive into the continuum limit.

A new dynamical mechanism for gauge symmetry breaking is proposed.

Abstract

We show how a strongly coupled lattice theory consisting of just fermions and gauge fields can exhibit a dynamical Higgs mechanism through the formation of a gauge invariant four fermion condensate. Furthermore, we argue that this lattice Higgs phase may survive into the continuum limit.