Zeta-function regularization approach to finite temperature effects in Kaluza-Klein space-times

Journal Article · Mon Sep 21 04:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392002135· OSTI ID:7012459

Bytsenko, A A ^[1]; Vanzo, L; Zerbini, S ^[2]

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1. Dept. of Theoretical Physics, State Technical Univ., St. Petersburg 195251 (USSR)
2. Dipt. di Fisica, Univ. di Trento, Italia and Ist. Nazionale di Fisica Nucleare, Gruppo Collegato di Trento (Italy)

In the framework of heat-kernel approach to zeta-function regularization, in this paper the one-loop effective potential at finite temperature for scalar and spinor fields on Kaluza-Klein space-time of the form M[sup p] [times] M[sub c][sup n], where M[sup p] is p-dimensional Minkowski space-time is evaluated. In particular, when the compact manifold is M[sub c][sup n] = H[sup n]/[Gamma], the Selberg tracer formula associated with discrete torsion-free group [Gamma] of the n-dimensional Lobachevsky space H[sup n] is used. An explicit representation for the thermodynamic potential valid for arbitrary temperature is found. As a result a complete high temperature expansion is presented and the roles of zero modes and topological contributions is discussed.

• OSTI ID: 7012459
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:29; ISSN MPLAEQ; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

661310 -- Relativity & Gravitation-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPACTIFICATION
FIELD THEORIES
KALUZA-KLEIN THEORY
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
MATHEMATICS
MINKOWSKI SPACE
POTENTIALS
SCALAR FIELDS
SERIES EXPANSION
SPACE
SPACE-TIME
SPINORS
TEMPERATURE DEPENDENCE
THERMODYNAMICS
TOPOLOGY
UNIFIED-FIELD THEORIES
WILSON LOOP