Gravitational contribution to the Casimir energy in Kaluza-Klein theories

Journal Article · Sat Sep 01 04:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90039-3· OSTI ID:6234886

Chodos, A; Myers, E

The Casimir energy of the gravitational field in Kaluza-Klein theories is investigated. The mathematical techniques needed to compute the contribution of a single graviton loop to the quantum effective potential on a background manifold of (Minkowski space)x(N-sphere) are developed. In these computations the cosmological constant plays a dynamical role, acting like a mass for the graviton. The numerical work for the case N = 1 is done explicitly, and a solution to the one-loop corrected equations of motion is found, although it is not stable. The possibility of an imaginery part of the effective potential for N>1 is noted, and its existence is attributed to tachyonic terms in the mode sum.

• Research Organization: Department of Physics, Yale University, New Haven, Connecticut 06511
• DOE Contract Number: AC02-76ER03075
• OSTI ID: 6234886
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 156:2; ISSN APNYA
• 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
DIFFERENTIAL EQUATIONS
EIGENVALUES
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GRAVITATIONAL FIELDS
GRAVITATIONAL RADIATION
GRAVITONS
KALUZA-KLEIN THEORY
LAPLACIAN
MASSLESS PARTICLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
RADIATIONS
SPACE
UNIFIED-FIELD THEORIES