Calculation of the Regularized Vacuum Energy in Cavity Field Theories
نویسنده
چکیده
A novel technique based on Schwinger’s proper time method is applied to the Casimir problem of the M.I.T. bag model. Calculations of the regularized vacuum energies of massless scalar, Dirac spinor, and vector fields confined to a static and spherical cavity are presented in a consistent manner. While our results agree with previous calculations based on asymptotic methods, the main advantage of our technique is that the numerical errors are under control. Interpreting the bag constant as a vacuum expectation value, we investigate potential cancellations of boundary divergences between the canonical energy and its bag constant counterpart. It is found that such a cancellation does not occur. PACS numbers: 12.20.DS, 12.39.Ba Typeset using REVTEX 1
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