Massive-Scalar Effective Actions on Anti-de Sitter Spacetime

Details Massive-Scalar Effective Actions on Anti-de Sitter Spacetime Massive-Scalar Effective Actions on Anti-de Sitter Spacetime

1998-08-19

arxiv.org/abs/hep-th/9808107v1

Can.J.Phys. 77 (1999) 85-99

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, plain TeX, one figure

Scientific paper

10.1139/cjp-77-2-85

Closed forms are derived for the effective actions for free, massive spinless fields in anti-de Sitter spacetimes in arbitrary dimensions. The results have simple expressions in terms of elementary functions (for odd dimensions) or multiple Gamma functions (for even dimensions). We use these to argue against the quantum validity of a recently-proposed duality relating such theories with differing masses and cosmological constants.

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