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Modular invariance in finite temperature Casimir effect

Year: 2020
Type: article
Abstract: A bstract The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular momentum. The extended partition function is expressed in terms of a real analytic Eisenstein series. These results become transparent after explicitly showing equivalence of the partition functions for Maxwell’s theory between perfectly conducting parallel plates and for a massless scalar with periodic boundary conditions.
Authors: Francesco Alessio, Glenn Barnich
Language: English
Open Access status: diamond
OpenAlex ID: W3045014053
FWCI: 0.204
Cites: 36
Cited by: 3
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