Can Lorentz-breaking fermionic condensates form in large N strongly-coupled Lattice Gauge Theories?

TL;DR

This paper investigates whether Lorentz symmetry breaking condensates can form in large N strongly-coupled lattice gauge theories, using techniques from chiral symmetry breaking analysis, and finds that certain LSB condensates are possible.

Contribution

It extends existing methods to analyze the formation of Lorentz symmetry breaking condensates in lattice gauge theories, revealing new possibilities for symmetry locking.

Findings

Certain LSB condensates can form in the strong coupling limit.

Some condensates may lock internal and external symmetries.

The methods predict condensate formation beyond chiral symmetry breaking.

Abstract

The possibility of Lorentz symmetry breaking (LSB) has attracted considerable attention in recent years for a variety of reasons, including the attractive prospect of the graviton as a Goldstone boson. Though a number of effective field theory analyses of such phenomena have recently been given it remains an open question whether they can take place in an underlying UV complete theory. Here we consider the question of LSB in large N lattice gauge theories in the strong coupling limit. We apply techniques that have previously been used to correctly predict the formation of chiral symmetry breaking condensates in this limit. Generalizing such methods to other composite operators we find that certain LSB condensates can indeed form. In addition, the interesting possibility arises of condensates that 'lock' internal with external symmetries.