Stress-energy tensors in anti--de Sitter spacetime

Journal Article · Fri May 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.3591· OSTI ID:7044459

Camporesi, R ^[1]; Higuchi, A ^[2]

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1. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States) Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, T6G2J1 (Canada)
2. Department of Physics, University of Maryland, College Park, Maryland 20742 (United States) Enrico Fermi Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (United States)

The stress-energy tensors are computed for scalar and spinor fields with arbitrary mass in anti--de Sitter spacetime using the {zeta}-function technique. The results are compared with those obtained by Pauli-Villars regularization. It is found that they agree with one another. The trace anomaly for the Wess-Zumino model (the scalar supermultiplet) in anti--de Sitter spacetime is studied. It is concluded that the trace anomaly must take the conventional'' value in this model although the physical significance of the stress-energy tensor is not clear in anti--de Sitter spacetime. The relation between the {zeta}-function and Pauli-Villars methods in an arbitrary space is also clarified.

• OSTI ID: 7044459
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
ENERGY DENSITY
EUCLIDEAN SPACE
FUNCTIONS
GREEN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
METRICS
MULTIPLETS
POTENTIALS
PROPAGATOR
RENORMALIZATION
RIEMANN SPACE
SCALAR FIELDS
SO GROUPS
SPACE
SPACE-TIME
SPINOR FIELDS
SUPERMULTIPLETS
SYMMETRY GROUPS
TENSORS
VACUUM STATES