Graviton n-point functions for UV-complete theories in Anti-de Sitter space

TL;DR

This paper computes graviton n-point functions in AdS black brane backgrounds for effective gravity theories, highlighting how quadratic Riemann corrections alter angular and energy dependencies compared to Einstein gravity.

Contribution

It provides a detailed comparison of graviton n-point functions in Einstein and corrected theories, revealing new angular and energy dependence features.

Findings

Einstein gravity n-point functions depend on at most one angle.

Corrected theories' n-point functions can depend on two angles.

Four-point functions show linear vs. quadratic dependence on Mandelstam variable s.

Abstract

We calculate graviton n-point functions in an anti-de Sitter black brane background for effective gravity theories whose linearized equations of motion have at most two time derivatives. We compare the n-point functions in Einstein gravity to those in theories whose leading correction is quadratic in the Riemann tensor. The comparison is made for any number of gravitons and for all physical graviton modes in a kinematic region for which the leading correction can significantly modify the Einstein result. We find that the n-point functions of Einstein gravity depend on at most a single angle, whereas those of the corrected theories may depend on two angles. For the four-point functions, Einstein gravity exhibits linear dependence on the Mandelstam variable s versus a quadratic dependence on s for the corrected theory.