A New Approach to Scale Symmetry Breaking and Confinement

TL;DR

This paper explores how scale invariant theories with a four-index field strength can lead to scale symmetry breaking, resulting in mass generation and confinement phenomena in four-dimensional physics.

Contribution

It introduces a novel approach linking four-index field strengths to scale symmetry breaking, mass generation, and confinement in scale invariant theories.

Findings

Scale symmetry breaking occurs via equations of motion of four-index field strength.

Mass generation is a consequence of the symmetry breaking.

Confinement phenomena can emerge from the proposed framework.

Abstract

Scale invariant theories which contain (in $4-D$) a four index field strength are considered. The integration of the equations of motion of these $4-index$ field strength gives rise to scale symmetry breaking. The phenomena of mass generation and confinement are possible consequences of this.