Casimir Effect in Problems with Spherical Symmetry: New Perspectives
Abstract
Since the Maxwell theory of electromagnetic phenomena is a gauge theory, it is quite important to evaluate the zeropoint energy of the quantized electromagnetic field by a careful assignment of boundary conditions on the potential and on the ghost fields. Recent work by the authors has shown that, for a perfectly conducting spherical shell, it is precisely the contribution of longitudinal and normal modes of the potential which enables one to reproduce the result first due to Boyer. This is obtained provided that one works with the Lorenz gaugeaveraging functional, and with the help of the Feynman choice for a dimensionless gauge parameter. For arbitrary values of the gauge parameter, however, covariant and noncovariant gauges lead to an entangled system of three eigenvalue equations. Such a problem is crucial both for the foundations and for the applications of quantum field theory.
 Publication:

arXiv eprints
 Pub Date:
 February 1998
 DOI:
 10.48550/arXiv.hepth/9802059
 arXiv:
 arXiv:hepth/9802059
 Bibcode:
 1998hep.th....2059E
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages, Latex. The new version is more detailed and much longer