Nonlocal regularization of abelian models with spontaneous symmetry breaking

TL;DR

This paper explores the application of nonlocal regularization to gauge invariant models with spontaneous symmetry breaking, revealing a relationship between nonlocal form factors and maintaining gauge invariance.

Contribution

It introduces a method to apply nonlocal regularization to models with spontaneous symmetry breaking while preserving gauge invariance and BRST symmetry.

Findings

Nonlocal BRST invariance enables decoupling of longitudinal gauge bosons.

The original formulation links nonlocal form factors in the model.

The approach maintains gauge invariance in regularized models.

Abstract

We demonstrate how nonlocal regularization is applied to gauge invariant models with spontaneous symmetry breaking. Motivated by the ability to find a nonlocal BRST invariance that leads to the decoupling of longitudinal gauge bosons from physical amplitudes, we show that the original formulation of the method leads to a nontrivial relationship between the nonlocal form factors that can appear in the model.