Space-time translational gauge identities in Abelian Yang-Mills gravity

TL;DR

This paper derives and verifies space-time translational gauge identities in quantum Yang-Mills gravity, generalizing Ward-Takahashi identities and aiding the understanding of its renormalization properties.

Contribution

It introduces a general class of gauge conditions in Yang-Mills gravity and explicitly calculates the resulting gauge identities, extending previous theoretical frameworks.

Findings

Derived gauge identities for general gauge conditions

Explicit calculations confirm the identities in Yang-Mills gravity

Provides groundwork for potential renormalization studies

Abstract

We derive and calculate the space-time translational gauge identities in quantum Yang-Mills gravity with a general class of gauge conditions involving two arbitrary parameters. These identities of the Abelian group of translation are a generalization of Ward-Takahasi-Fradkin identities and important for general discussions of possible renormalization of Yang-Mills gravity with translational gauge symmetry. The gauge identities in Yang-Mills gravity with a general class of gauge conditions are substantiated by explicit calculations.