Arbitrary-spin effective potentials in anti--de Sitter spacetime

Journal Article · Thu Apr 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.3339· OSTI ID:6942969

Camporesi, R ^[1]; Higuchi, A ^[2]

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1. Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, T6G 2J1 (Canada)
2. Enrico Fermi Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (United States)

The one-loop effective potentials and stress-energy tensors for fields of arbitrary spin in anti--de Sitter (AdS) spacetime are calculated using the [zeta]-function technique. The arbitrary-spin [zeta] function is computed exactly on the four-dimensional hyperbolic space [ital H][sup 4], 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 [psi] functions. Applications to AdS supergravity are pointed out.

• OSTI ID: 6942969
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:8; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RENORMALIZATION
SPACE-TIME
SPIN