Modular invariance in finite temperature Casimir effect
High Energy Physics - Theory
2020-12-02 v3 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.2007.13334,
title = {Modular invariance in finite temperature Casimir effect},
author = {Francesco Alessio and Glenn Barnich},
journal= {arXiv preprint arXiv:2007.13334},
year = {2020}
}
Comments
minor corrections, result unchanged