Conventional zeta-function derivation of high-temperature expansions
- 21 October 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (15) , 5351-5360
- https://doi.org/10.1088/0305-4470/20/15/046
Abstract
Zeta-function regularisation (of functional determinants) is used to derive the exact high-temperature expansions of the thermodynamic potentials for the ideal massive Bose and Fermi gases for non-zero chemical potential. The purpose is to show agreement with the results obtained by the Mellin transform method, and by the method of zeta-function regularisation of infinite series. The generalised zeta functions calculated are the simplest examples of Feynman diagram zeta functions. The extension of these calculations to Euclidean manifolds M*En more complicated than the finite-temperature cylinder S1*En is discussed.Keywords
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