Casimir energy in the MIT bag model

Details Casimir energy in the MIT bag model Casimir energy in the MIT bag model

1997-07-09

arxiv.org/abs/hep-th/9707083v1

J.Phys.A31:1743-1759,1998

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex, 1 Postscript figure, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/31/7/009

The vacuum energies corresponding to massive Dirac fields with the boundary conditions of the MIT bag model are obtained. The calculations are done with the fields occupying the regions inside and outside the bag, separately. The renormalization procedure for each of the situations is studied in detail, in particular the differences occurring with respect to the case when the field extends over the whole space. The final result contains several constants undergoing renormalization, which can be determined only experimentally. The non-trivial finite parts which appear in the massive case are found exactly, providing a precise determination of the complete, renormalized zero-point energy for the first time, in the fermionic case. The vacuum energy behaves like inverse powers of the mass for large masses.

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