A Gauge-Gravity Relation in the One-loop Effective Action

Details A Gauge-Gravity Relation in the One-loop Effective Action A Gauge-Gravity Relation in the One-loop Effective Action

2009-12-07

arxiv.org/abs/0912.1260v1

J.Phys.A43:072002,2010

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1088/1751-8113/43/7/072002

We identify an unusual new gauge-gravity relation: the one-loop effective action for a massive spinor in 2n dimensional AdS space is expressed in terms of precisely the same function [a certain multiple gamma function] as the one-loop effective action for a massive charged scalar in 4n dimensions in a maximally symmetric background electromagnetic field [one for which the eigenvalues of F_{\mu\nu} are maximally degenerate, corresponding in 4 dimensions to a self-dual field, equivalently to a field of definite helicity], subject to the identification F^2 <-> \Lambda, where \Lambda is the gravitational curvature. Since these effective actions generate the low energy limit of all one-loop multi-leg graviton or gauge amplitudes, this implies a nontrivial gauge-gravity relation at the non-perturbative level and at the amplitude level.

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