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Massive-Scalar Effective Actions on Anti-de Sitter Spacetime

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arxiv hep-th/9808107 v1 pith:QPUPME2I submitted 1998-08-19 hep-th gr-qc

Massive-Scalar Effective Actions on Anti-de Sitter Spacetime

classification hep-th gr-qc
keywords dimensionsactionsanti-deeffectivefunctionssitterarbitraryargue
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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