Arbitrary-spin effective potentials in anti-de Sitter spacetime

Statistics – Applications

Scientific paper

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Theory Of Quantized Fields, Supergravity, Renormalization

Scientific paper

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.

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