Some recent results in calculation of the Casimir energy at zero and finite temperature

Details Some recent results in calculation of the Casimir energy at zero and finite temperature Some recent results in calculation of the Casimir energy at zero and finite temperature

2003-10-05

arxiv.org/abs/hep-th/0310041v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX 2e; Contribution to the Proceedings of the International Conference "I.Ya. Pomeranchuk and Physics at the Turn

Scientific paper

The survey summarizes briefly the results obtained recently in the Casimir effect studies considering the following subjects: i) account of the material characteristics of the media and their influence on the vacuum energy (for example, dilute dielectric ball); ii) application of the spectral geometry methods for investigating the vacuum energy of quantized fields with the goal to gain some insight, specifically, in the geometrical origin of the divergences that enter the vacuum energy and to develop the relevant renormalization procedure; iii) universal method for calculating the high temperature dependence of the Casimir energy in terms of heat kernel coefficients.

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