Slavnov Identities for Infinite Derivative Theory of Gravity

TL;DR

This paper investigates an infinite-derivative gravity theory, deriving its divergence properties, establishing BRS invariance, and deriving Slavnov identities to assess its potential renormalizability.

Contribution

It introduces Slavnov identities for an infinite-derivative gravity theory, advancing understanding of its symmetry and renormalization properties.

Findings

Derived the modified superficial degree of divergence.

Proved BRS invariance of the theory.

Established Slavnov identities for the model.

Abstract

In this paper, we shall consider an infinite-derivative theory of gravity, with a view to making it renormalisable. First, we derive the modified superficial degree of divergence. Next, we establish that the theory is invariant under BRS (Becchi-Rouet-Stora) transformations. Consequently, we show that the corresponding Slavnov identities hold for the theory. Finally, we summarise our results and discuss renormalisability.