ar X iv : h ep - t h / 01 11 13 1 v 1 1 4 N ov 2 00 1 Vacuum Polarization of a Scalar Field in a Rectangular Waveguide
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چکیده
An analysis of the one-loop vacuum fluctuations associated with a massless scalar field, confined in the interior of a rectangular infinitely long waveguide is presented. To identify the infinities of the vacuum fluctuations we are using different analytic regularization procedures, instead of the usual point-splitting Green's function method. The infinities which occur in ϕ 2 (x) fall into two distinct classes: local divergences that are renormalized by the introduction of bulk counterterms and also surface and edges divergences that demand countertems concentrated on the boundaries. Detailed form of the surface and edge divergences are presented. Different possible solutions that can eliminate these divergences are discussed and also possible experimental test of our results.
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تاریخ انتشار 2001