Unique one-loop effective action for the six-dimensional Einstein-Hilbert action

Journal Article · Mon Jul 22 04:00:00 EDT 1991 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.67.422· OSTI ID:5535641

Cho, H T; Kantowski, R ^[1]

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1. Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019 (USA)

In this Letter we give the gauge-independent divergent part of the one-loop correction to the effective action for the six-dimensional Einstein-Hilbert action, including a cosmological constant. We extend the methods of Barvinsky-Vilkovisky from four to higher dimensions, including the Vilkovisky-DeWitt correction, to obtain the unique counterterms for an arbitrary background field. All one-loop operators are given for {ital N} dimensions; however, due to the complexity of the Schwinger-DeWitt expansion, going beyond six dimensions to eight or ten will probably require restricting the background.

• OSTI ID: 5535641
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 67:4; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL CONSTANT
ELEMENTARY PARTICLES
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
GRAVITATIONAL RADIATION
GRAVITONS
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
MASSLESS PARTICLES
POSTULATED PARTICLES
RADIATIONS
TENSORS
UNIFIED-FIELD THEORIES