Gravitational Casimir energy in even dimensions

Journal Article · Sat Mar 15 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.1563· OSTI ID:5891108

Myers, E

A method is described for calculating the one-loop gravitational effective potential (gravitational Casimir energy) in Kaluza-Klein theories with an even number of dimensions. The self-consistency condition that the effective potential vanish at its minimum is used to fix the subtraction point for a renormalization of the graviton wave function. The method avoids the use of a higher-dimensional cosmological constant. The calculation is performed for the background manifold (Minkowski space)x(N-sphere), in which case the potential is shown to be real and to possess a single stationary point, which turns out to be a maximum. A higher-dimensional cosmological constant appears to be necessary for global stability of the potential.

• Research Organization: Physics Department, Brookhaven National Laboratory, Upton, New York 11973
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5891108
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FEYNMAN PATH INTEGRAL
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL RADIATION
GRAVITONS
INTEGRALS
KALUZA-KLEIN THEORY
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
RADIATIONS
RENORMALIZATION
SCALAR FIELDS
SPACE
SPACE-TIME
UNIFIED-FIELD THEORIES
WAVE FUNCTIONS