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Casimir Effect and Quantum Field Theory in Dielectrics

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Abstract

We apply the path-integral method in the coordinate space to the Casimir effect. We consider several examples: the Casimir energy of a dilute dielectric ball with dispersion, the Casimir energy of a polarized particle near a dielectric ball, and the Casimir energy of a polarized particle inside a perfectly conducting wedge-shaped cavity. The renormalization group equation for the Φ4 model is obtained in the coordinate space by a new method that emphasizes the relation between the background field method and the Casimir energy.

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  1. St. Petersburg State University, St. Petersburg, Russia

    V. N. Marachevsky

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  1. V. N. Marachevsky
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Marachevsky, V.N. Casimir Effect and Quantum Field Theory in Dielectrics. Theoretical and Mathematical Physics 131, 468–482 (2002). https://doi.org/10.1023/A:1015197501691

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