# Vacuum Polarization of a Scalar Field in a Rectangular Waveguide

@article{Rodrigues2001VacuumPO, title={Vacuum Polarization of a Scalar Field in a Rectangular Waveguide}, author={Robson B. Rodrigues and N. F. Svaiter}, journal={arXiv: High Energy Physics - Theory}, year={2001} }

An analysis of the one-loop vacuum fluctuations associated with a scalar field confined in the interior of a infinite waveguide of rectangular cross section is presented. We first consider the massless scalar field defined in a four-dimensional Euclidean space. To identify the infinities of the vacuum fluctuations we use a combination of dimensinal and zeta function analytic regularization procedures. The infinities which occur in the one-loop vacuum fluctuations fall into two distinct classes…

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