ZETA-FUNCTION REGULARIZATION APPROACH TO FINITE TEMPERATURE EFFECTS IN KALUZA-KLEIN SPACE-TIMES

In the framework of heat-kernel approach to zeta-function regularization, the one-loop effective potential at finite temperature for scalar and spinor fields on Kaluza-Klein space-time of the form M(p) x M(c)n where M(p) is p-dimensional Minkowski space-time is evaluated. In particular, when the compact manifold is M(c)n = H(n)/GAMMA, the Selberg trace formula associated with discrete torsion-free group GAMMA of the n-dimensional Lobachevsky space H(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.