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Zeta-function regularization and the thermodynamic potential for quantum fields in symmetric spaces

I. Brevik, A. A. Bytsenko, A. E. Goncalves, F. L. Williams

hep-tharXiv:hep-th/9711159

Abstract

We calculate a temperature dependent part of the one-loop thermodynamic potential (and the free energy) for charged massive fields in a general class of irreducible rank 1 symmetric spaces. Both low- and high-temperature expansions are derived and the role of non-trivial topology influence on asymptotic properties of the potential is discussed.

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