This article is cited in 8 papers

Casimir Effect and Quantum Field Theory in Dielectrics

B. N. Marachevsky

Saint-Petersburg State University

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 $\Phi^4$ model is obtained in the coordinate space by a new method that emphasizes the relation between the background field method and the Casimir energy.

DOI: 10.4213/tmf1945

 English version: Theoretical and Mathematical Physics, 2002, 131:1, 468–482

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