Dynamical Mass Generation for Non-Abelian Gauge Fields without the Higgs

TL;DR

This paper proposes a novel method for generating masses for non-abelian gauge fields in four-dimensional spacetime without relying on the Higgs mechanism, using fermionic self-interactions and functional integration.

Contribution

It introduces an alternative mass generation mechanism for non-abelian gauge fields that avoids scalar Higgs particles by fine-tuning fermionic interactions.

Findings

Massive non-abelian gauge fields without residual scalars

Effective theory derived from fermionic self-interactions

No need for Higgs or scalar degrees of freedom

Abstract

We present an alternative to the Higgs mechanism to generate masses for non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally coupled to non-abelian gauge fields. The mass generation occurs upon the fermionic functional integration. We show that by fine-tuning the coupling constants the effective theory contains massive non-abelian gauge fields without any residual scalars or other degrees of freedom.