Conservation laws in gauge gravity theory

TL;DR

This paper investigates conservation laws in gauge gravity theories, emphasizing the role of auxiliary fields and constructing geometrically meaningful gauge fields within a Noether-Lagrange framework.

Contribution

It develops a consistent formalism for conservation laws in gauge gravity, highlighting the significance of Goldstone and Stueckelberg fields in the construction of gauge fields.

Findings

Conservation laws are derived for gauge gravity models with Poincare and diffeomorphism invariance.

Auxiliary fields are essential for the geometric interpretation of gauge fields.

A new formalism clarifies the physical meaning of composite gauge fields.

Abstract

We analyse the conservation laws in the gauge gravity theory which are derived for the general class of gravitational models with the action invariant under the local Poincare and the diffeomorphism group. The consistent Noether-Lagrange formalism is developed, revealing the important role of the auxiliary Goldstone and Stueckelberg fields, with the help of which we construct the composite gauge fields that have a clear geometrical and physical meaning.