Casimir energy for self-interacting scalar field in a spherical shell

Details Casimir energy for self-interacting scalar field in a spherical shell Casimir energy for self-interacting scalar field in a spherical shell

2002-01-27

arxiv.org/abs/hep-th/0201213v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

In this paper we calculate the Casimir energy for spherical shell with massless self-interacting scalar filed which satisfying Dirichlet boundary conditions on the shell. Using zeta function regularization and heat kernel coefficients we obtain the divergent contributions inside and outside of Casimir energy. The effect of self-interacting term is similar with existing of mass for filed. In this case some divergent part arises. Using the renormalization procedure of bag model we can cancel these divergent parts.

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