Unitarity and Renormalizability - Together at last

TL;DR

This paper demonstrates that by modifying the background field gauge condition, one can achieve both manifest unitarity and renormalizability in gauge theories with spontaneous symmetry breaking within a unified formalism.

Contribution

It introduces a modified background field gauge condition that simultaneously ensures manifest unitarity and renormalizability in gauge theories.

Findings

Achieves manifest unitarity and renormalizability together

Provides a unified framework for gauge theories with spontaneous symmetry breaking

Enhances theoretical consistency of gauge fixing methods

Abstract

By construction, gauge theories require gauge fixing. In conventional approaches to spontaneously broken gauge theories, the choice of the Unitary ('t Hooft) gauge involves the sacrifice of manifest renormalizability (unitarity). It is shown that with a suitable modification of the background field gauge condition, the background field formalism allows manifest unitarity and renormalizability in a single framework.