Simple method for calculating the Casimir energy for sphere

Details Simple method for calculating the Casimir energy for sphere Simple method for calculating the Casimir energy for sphere

1997-07-31

arxiv.org/abs/hep-th/9707253v1

Phys.Rev. D57 (1998) 1284-1290

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 tables

Scientific paper

10.1103/PhysRevD.57.1284

A simple method for calculating the Casimir energy for a sphere is developed which is based on a direct mode summation and counter integration in a complex plane of eigenfrequencies. The method uses only classical equations determining the eigenfrequencies of the quantum field under consideration. Efficiency of this approach is demonstrated by calculation of the Casimir energy for a perfectly conducting spherical shell and for a massless scalar field obeying the Dirichlet and Neumann boundary conditions on sphere. The possibility of rationalizing the removal of divergences in this problem as a renormalization of both the energy and the radius of the sphere is discussed.

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