Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-08-02
Phys.Rev. D65 (2002) 056013
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, RevTeX, no figures. To be published in Phys. Rev D. v2 has revised introduction and conclusions, plus a few typograph
Scientific paper
10.1103/PhysRevD.65.056013
We develop exact, simple closed form expressions for partition functions associated with relativistic bosons and fermions in odd spatial dimensions. These expressions, valid at high temperature, include the effects of a non-trivial Polyakov loop and generalize well-known high temperature expansions. The key technical point is the proof of a set of Bessel function identities which resum low temperature expansions into high temperature expansions. The complete expressions for these partition functions can be used to obtain one-loop finite temperature contributions to effective potentials, and thus free energies and pressures.
Meisinger Peter N.
Ogilvie Michael C.
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