Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-23
Eur.Phys.J.C11:153-161,1999
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 4 figures, accepted for publication in Eur.Phys.J.C
Scientific paper
10.1007/s100520050622
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 and Dirac spinor fields confined to a static and spherical cavity are presented in a consistent manner. While our results agree partly 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 in the fermionic case. It is found that such cancellations do not occur.
Hofmann Ralf
Schumann Marc
Viollier Raoul D.
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