A Generalized Stueckelberg-Higgs gauge theories

TL;DR

This paper explores generalized gauge theories that generate photon mass while maintaining gauge symmetry, combining Stueckelberg and Higgs mechanisms within classical and quantum frameworks, and analyzing their gauge independence and quantization.

Contribution

It introduces a unified generalized framework for Stueckelberg-Higgs gauge theories, detailing their classical and quantum formulations and gauge invariance properties.

Findings

Quantum transition amplitude analyzed via Fadeev-Senjanovic formalism.

Gauge independence confirmed through BRS-T symmetry analysis.

Stueckelberg structure influences Higgs quantization akin to 't Hooft's approach.

Abstract

The aim of this work is to discuss and explore some generalized aspects of generation of photon mass respecting gauge symmetry. We introduce generalized Stueckelberg and Higgs gauge theories and present the classical and quantum frameworks related to them. We construct the quantum theory by writing the transition amplitude in the Fadeev-Senjanovic formalism and put it in a covariant form by the Fadeev-Popov method. We also analyze the independence of the transition amplitude by gauge parameters via BRS-T symmetry. Even in the generalized context, the Stueckelberg structure influences the quantization process of the Higgs theory in the 't Hooft's fashion, in which an intimate relationship between the Stueckelberg compensating field and the Goldstone boson arises.