Slavnov Identities for Infinite Derivative Theory of Gravity

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.