Geodesic
Casimir Effect and Quantum Field Theory in Dielectrics
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 26-43

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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. 
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     author = {B. N. Marachevsky},
     title = {Casimir {Effect} and {Quantum} {Field} {Theory} in {Dielectrics}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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B. N. Marachevsky. Casimir Effect and Quantum Field Theory in Dielectrics. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 26-43. http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a3/