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

Abstract

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_{μν} 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 <-> Λ, where Λis 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.

6 pages

References in corpus (7)

• Graviton Physics
• One-loop corrections to the photon propagator in the curved-space QED
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Contributions to the Theory of the Barnes Function
• Factorization in Graviton Scattering and the "Natural" Value of the g-factor
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Cited by in corpus (5)

• On Marginal Operators in Boundary Conformal Field Theory
• Effective action for Einstein-Maxwell theory at order RF**4
• Functional determinants, generalized BTZ geometries and Selberg zeta function
• Determinant and Weyl anomaly of Dirac operator: a holographic derivation
• A note on a gauge-gravity relation and functional determinants