Finitetemperature effects for massive fields in Ddimensional Rindlerlike spaces
Abstract
The first quantum corrections to the free energy for massive fields in Ddimensional spacetimes of the form R × R^{+} × M^{N1}, where D = N + 1 andM^{N1} is a constant curvature manifold, is investigated by means of the ξfunction regularization. It is suggested that the nature of the divergences, which are present in the thermodynamical quantities, might be better understood making use of the conformal related optical metric and associated techniques. The general form of the horizon divergences of the free energy is obtained as a function of the free energy densities of fields having negative square masses (absence of the gap in the Laplace operator spectrum) on ultrastatic manifolds with hyperbolic spatial section H^{N2 n} and of the SeeleyDeWitt coefficients of the Laplace operator on the manifold M^{N1}. Furthermore, recurrence relations are found relating higher and lower dimensions. The cases of Rindler space, where M^{N1} = R^{N1} and very massive Ddimensional black holes, where M^{N1} = S ^{N1} are treated as examples. The renormalization of the internal energy is also discussed.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(95)005854
 arXiv:
 arXiv:hepth/9508104
 Bibcode:
 1996NuPhB.458..267B
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 20 pages, LaTex, some references and a missing term in Eq.(6.2) added