Effective action for Einstein-Maxwell theory at order RF**4

TL;DR

This paper computes a specific part of the one-loop effective action in Einstein-Maxwell theory, revealing low energy limits of five-point amplitudes involving gravitons and photons, with results applicable to scalar and spinor loops.

Contribution

It provides an explicit calculation of the low energy limit of five-point amplitudes in Einstein-Maxwell theory using a new integral representation of the effective action.

Findings

Derived a compact form of the effective action component.

Calculated low energy limits for amplitudes with one graviton and four photons.

Applicable to both scalar and spinor loop cases.

Abstract

We use a recently derived integral representation of the one-loop effective action in Einstein-Maxwell theory for an explicit calculation of the part of the effective action containing the information on the low energy limit of the five-point amplitudes involving one graviton, four photons and either a scalar or spinor loop. All available identities are used to get the result into a relatively compact form.