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Massive-Scalar Effective Actions on Anti-de Sitter Spacetime
High Energy Physics - Theory · Submitted 19 Aug 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Closed forms are derived for the effective actions for free, massive spinless fields in anti-de Sitter spacetimes in arbitrary dimensions. | result 0.65 | 0.94 | 0.17 | asserted 1.00 |
| s1 | The results have simple expressions in terms of elementary functions (for odd dimensions) or multiple Gamma functions (for even dimensions). | result 0.99 | 0.89 | 0.09 | asserted 1.00 |
| s2 | We use these to argue against the quantum validity of a recently-proposed duality relating such theories with differing masses and cosmological constants. | interpretation 0.98 | 0.80 | 0.76 | asserted 0.73 |
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The paper
Original abstract
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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References
How the literature uses it
4 arXiv papers cite this in 13 sentences
Papers citing it · 9 sentences without a confident label
Compares with it 1 paper
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From these definitions, we find that W(μ) = -1/2 logΓ_d( μ+ d-1/2 ) - 1/2 logΓ_d ( μ+ d+1/2 ) + c , providing another route to the results [ref] obtained by direct evaluation of ([ref]).
On Marginal Operators in Boundary Conformal Field Theory · The Partition Function on the Hemisphere · 0.90
Cites it as background 2 papers
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The above expression was derived in [ref] and the corresponding effective actions have been studied in various works (see for example [ref] - [ref] , [ref] , [ref] , [ref] ).
On partition functions and phases of scalars in AdS · Euclidean $AdS_d+1$ · 0.85
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Various integral representations and asymptotic expansions can be found in [ref] .
A Gauge-Gravity Relation in the One-loop Effective Action · Appendix: Multiple Gamma Functions · 0.93
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