Gauge Symmetry Breaking in Gravity and Auxiliary Effective Action

TL;DR

This paper explores gauge symmetry breaking in gravity using path integral methods and introduces an auxiliary effective action with a new dynamic field, providing insights into covariant symmetry breaking and auxiliary field dynamics.

Contribution

It presents a novel approach to covariant gauge symmetry breaking in gravity via path integrals and introduces an auxiliary effective action framework with a new dynamic field.

Findings

Path integral method applied to covariant symmetry breaking in gravity.

Introduction of an auxiliary effective action with a separated dynamic field.

Clarification of ghost degrees of freedom exclusion through constraints.

Abstract

At first, we consider the path integral method for the covariant symmetry breaking in gravity. We replace the scalar fields, instead of the degrees of freedom which have been removed by gauge fixing constraints. Finally the specific ghost degree of freedom, remains excluded via one of the constraints. Secondly, we define an auxiliary effective action. Entering an auxiliary field, we will have a new dynamic field separated from the fundamental field.