A note on a gauge–gravity relation and functional determinants

We present a refinement of a recently found gauge--gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity side, for a massive spinor in d-dimensional (Euclidean) ant...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-07, Vol.43 (29), p.295401-295401
Main Authors: Aros, R, Díaz, D E, Montecinos, A
Format: Article
Language:English
Subjects:
Charging
Electromagnetic fields
Exact sciences and technology
Gravitation
Mapping
Mathematical analysis
Physics
Proposals
Regularization
Scalars
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Summary:We present a refinement of a recently found gauge--gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity side, for a massive spinor in d-dimensional (Euclidean) anti-de Sitter space. The inclusion of the dimensionally regularized volume of AdS leads to a complete mapping within dimensional regularization. In even-dimensional AdS, we acquire a small correction to the original proposal, whereas in odd-dimensional AdS, the mapping is totally new and subtle, with the 'holographic trace anomaly' playing a crucial role.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/29/295401