Casimir energies for massive fields in the bag

Details Casimir energies for massive fields in the bag Casimir energies for massive fields in the bag

1996-08-12

arxiv.org/abs/hep-th/9608071v1

Phys.Rev.D56:4896-4904,1997

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 Postscript figures, submitted to Nucl. Phys. B

Scientific paper

10.1103/PhysRevD.56.4896

The Casimir energy corresponding to a massive scalar field with Dirichlet boundary conditions on a spherical bag is obtained. The field is considered, separately, inside and outside the bag. The renormalization procedure that is necessary to apply in each situation is studied in detail, in particular the differences occurring with respect to the case when the field occupies the whole space. The final result contains several constants that experience renormalization and can be determined only experimentally. The non-trivial finite parts that appear in the massive case are found exactly, providing a precise determination of the complete, renormalized zero-point energy for the first time.

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