Symmetry breaking in non-commutative cut-off field theories

TL;DR

This paper explores how non-commutative cut-off field theories exhibit symmetry breaking and inhomogeneous phase transitions, drawing parallels with condensed matter and finite density QCD phenomena, highlighting the role of infrared-ultraviolet mixing.

Contribution

It proposes that non-commutative dynamics effectively describe mechanisms behind inhomogeneous phase transitions and roton-like spectra.

Findings

Non-commutative dynamics relate to inhomogeneous phase transitions.

Infrared-ultraviolet mixing influences symmetry breaking.

Effective description of roton-like excitations.

Abstract

The relation between symmetry breaking in non-commutative cut-off field theories and transitions to inhomogeneous phases in condensed matter and in finite density QCD is discussed. The non-commutative dynamics, with its peculiar infrared-ultraviolet mixing, can be regarded as an effective description of the mechanisms which lead to inhomogeneous phase transitions and a roton-like excitation spectrum.