Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions

TL;DR

This paper computes one-loop scattering amplitudes for gravitons and two-forms in higher dimensions, revealing ultraviolet infinities and their role in renormalizing gravity theories in six and eight dimensions.

Contribution

It introduces a unified approach using string theory relationships to analyze graviton and two-form scattering in higher dimensions, advancing understanding of their renormalization.

Findings

Identifies ultraviolet divergences in six and eight dimensions.

Determines the form of the renormalized one-loop action.

Uses string-based methods to unify graviton and two-form calculations.

Abstract

We calculate one-loop scattering amplitudes for gravitons and two-forms in dimensions greater than four. The string based Kawai-Lewellen-Tye relationships allow gravitons and two-forms to be treated in a unified manner. We use the results to determine the ultra-violet infinities present in these amplitudes and show how these determine the renormalised one-loop action in six and eight dimensions.