Gravitational Casimir energy in non-Abelian Kaluza-Klein theories

Journal Article · Sat Jun 15 04:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.3064· OSTI ID:5543115

Chodos, A; Myers, E

The Casimir energy of the gravitational field in certain Kaluza-Klein theories is computed. Specifically, the one-loop quantum effective potential of the gravitational field on the background manifold (Minkowski space) x (N-sphere) is evaluated as a function of the radius of the N-sphere. (N is restricted to be odd for technical reasons.) Minima of the (real part of the) potential for which the observed cosmological constant is zero are found numerically for N = 13, 15, 17, 19, and 21. The potential has an imaginary part which is attributed to ''tachyonic'' terms in the mode sum, although it is argued that the Faddeev-Popov ghost modes do not contribute to this imaginary part.

• Research Organization: Physics Department, Yale University, New Haven, Connecticut 06511
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5543115
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:12; 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
BOUNDARY CONDITIONS
CASIMIR OPERATORS
COSMOLOGICAL MODELS
EINSTEIN FIELD EQUATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GRAVITATIONAL FIELDS
KALUZA-KLEIN THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTITION FUNCTIONS
POSTULATED PARTICLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SPACE
SPACE-TIME
TACHYONS
UNIFIED-FIELD THEORIES