Partition function for a singular background

Details Partition function for a singular background Partition function for a singular background

2004-12-14

arxiv.org/abs/hep-th/0412156v2

Phys.Lett. B610 (2005) 159-164

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, revtex4, typos corrected. To appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2005.02.010

We present a method for evaluating the partition function in a varying external field. Specifically, we look at the case of a non-interacting, charged, massive scalar field at finite temperature with an associated chemical potential in the background of a delta-function potential. Whilst we present a general method, valid at all temperatures, we only give the result for the leading order term in the high temperature limit. Although the derivative expansion breaks down for inhomogeneous backgrounds we are able to obtain the high temperature expansion, as well as an analytic expression for the zero point energy, by way of a different approximation scheme, which we call the {\it local Born approximation} (LBA).

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