Casimir energy of a dilute dielectric ball at zero and finite temperature

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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4 pages, LaTeX, no figures. Contribution to the Proceedings of the Fifth Workshop on Quantum Field Theory under the Influence

Scientific paper

10.1142/S0217751X02010121

The basic results in calculations of the thermodynamic functions of electromagnetic field in the background of a dilute dielectric ball at zero and finite temperature are presented. Summation over the angular momentum values is accomplished in a closed form by making use of the addition theorem for the relevant Bessel functions. The behavior of the thermodynamic characteristics in the low and high temperature limits is investigated. The $T^3$-term in the low temperature expansion of the free energy is recovered (this term has been lost in our previous calculations).

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