Kaluza-Klein Method in Theory of Rotating Quantum Fields

Abstract

Quantum fields on a stationary space-time in a rotating Killing reference frame are considered. Finding solutions of wave equations in this frame is reduced to a fiducial problem on a static background. The rotation results in a gauge connection in a way similar to appearance of gauge fields in Kaluza-Klein models. Such a Kaluza-Klein method in theory of rotating quantum fields enables one to simplify computations and get a number of new results similar to those established for static backgrounds. In particular, we find with its help functional form of free energy at high temperatures. Applications of these results to quantum fields near rotating black holes are briefly discussed.

23 pages, latex

References in corpus (4)

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• The Thermodynamic Potentials of Kerr-AdS Black Holes and their CFT Duals

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• Divergences in the vacuum energy for frequency-dependent interactions
• High-temperature expansion of the one-loop effective action induced by scalar and Dirac particles
• Quantum aspects of a noncommutative supersymmetric kink
• Thermodynamics, Euclidean Gravity and Kaluza-Klein Reduction
• On space-time noncommutative U(1) model at high temperature