Scalar and spinor Casimir energies in even-dimensional Kaluza-Klein spaces of the form M/sup 4/ x S/sup N//sup 1/ x S/sup N//sup 2/ x xxx

Journal Article · Thu Sep 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.1809· OSTI ID:6763078

Birmingham, D; Kantowski, R; Milton, K A

We use two methods of computing the unique logarithmically divergent part of the Casimir energy for massive scalar and spinor fields defined on even-dimensional Kaluza-Klein spaces of the form M/sup 4/ x S/sup N//sup 1/ x S/sup N//sup 2/ x xxx. Both methods (heat kernel and direct) give identical results. The first evaluates the required internal zeta function by identifying it in the asymptotic expansion of the trace of the heat kernel, and the second evaluates the zeta function directly using the Euler-Maclaurin sum formula. In Appendix C we tabulate these energies for all spaces of total internal dimension less than or equal to6. These methods are easily applied to vector and tensor fields needed in computing one-loop vacuum gravitational energies on these spaces. Stable solutions are given for internal structure S/sup 2/ x S/sup 2/.

• Research Organization: The Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, United Kingdom
• OSTI ID: 6763078
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 38:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CASIMIR EFFECT
FIELD THEORIES
GRAND UNIFIED THEORY
GRAVITATIONAL FIELDS
KALUZA-KLEIN THEORY
MATHEMATICAL MODELS
PARTICLE MODELS
SCALAR FIELDS
SPINOR FIELDS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES