Abstract
We show that the approach proposed by Schwinger to compute the Casimir energy at zero temperature in the context of source theory, can be generalized to include temperature effects. We use a regularization prescription based on analytical continuation methods which allows full employment of the Epstein function techniques. This is to be compared with Schwinger's original regularization method by means of the Poisson summation formula.
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Cougo-Pinto, M.V., Farina, C. & Tort, A. Schwinger's formula for the Casimir effect at finite temperature. Letters in Mathematical Physics 37, 159–165 (1996). https://doi.org/10.1007/BF00416018
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DOI: https://doi.org/10.1007/BF00416018