Strong Interaction Dynamics from Spontaneous Symmetry Breaking of Scale Invariance

TL;DR

This paper explores how spontaneous symmetry breaking of scale invariance can lead to confining behavior in gauge theories, with implications for understanding confinement and deconfinement transitions via a dilaton field.

Contribution

It introduces a novel mechanism linking spontaneous scale symmetry breaking to confinement, including models for phase transitions using a dilaton field.

Findings

Spontaneous symmetry breaking of scale invariance can generate confining behavior.

A dilaton field models confinement and deconfinement transitions.

The framework allows for bag models with internal unconfined phases.

Abstract

Using the mechanism of spontaneous symmetry breaking of scale invariance obtained from the dynamics of maximal rank field strengths, it is possible to spontaneously generate confining behavior. Introducing a dilaton field, the study of non trivial confining and de-confining transitions appears possible. This is manifest in two ways at least: One can consider bags which contain an unconfined phase in the internal region and a confined phase outside and also one obtains a simple model for deconfinement at high Temperature from the finite Temperature dynamics of the dilaton field.