The Role of Mass and External Field on the Fermionic Casimir Effect

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex file, 13 pages, no figures

Scientific paper

The aim of this work is to investigate the role played by the fermion mass and that of an external field on the fermionic Casimir energy density under S^1 X R^3 topology. Both twisted and untwisted spin connections are considered and the exact calculation is performed using a somewhat different approach based on the combination of the analytic regularization method through alpha-representation and Euler-Maclaurin summation formula.

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