The one-loop effective potentials and stress-energy tensors for fields of arbitrary spin in anti-de Sitter (AdS) spacetime are calculated using the ζ-function technique. The arbitrary-spin ζ function is computed exactly on the four-dimensional hyperbolic space H4, which is the (noncompact) Euclidean section appropriate to AdS spacetime. The finite parts of the effective potentials are given explicitly in terms of integrals containing ψ functions. Applications to AdS supergravity are pointed out.
Arbitrary-spin effective potentials in anti-de Sitter spacetime / Camporesi, Roberto; A., Higuchi. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 47:8(1993), pp. 3339-3344. [10.1103/PhysRevD.47.3339]
Arbitrary-spin effective potentials in anti-de Sitter spacetime
CAMPORESI, ROBERTO;
1993
Abstract
The one-loop effective potentials and stress-energy tensors for fields of arbitrary spin in anti-de Sitter (AdS) spacetime are calculated using the ζ-function technique. The arbitrary-spin ζ function is computed exactly on the four-dimensional hyperbolic space H4, which is the (noncompact) Euclidean section appropriate to AdS spacetime. The finite parts of the effective potentials are given explicitly in terms of integrals containing ψ functions. Applications to AdS supergravity are pointed out.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2497953
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