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      Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces

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          Abstract

          The effective one-loop potential on \(R^{m+1}\times S^N\) spaces for massless tensor fields is evaluated. The Casimir energy is given as a value of \(\zeta-\) function by means of which regularization is made. In even- dimensional spaces the vacuum energy contains divergent terms coming from poles of \(\zeta(s,q)\) at \(s=1\), whereas in odd-dimensional spaces it becomes finite.

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          The finite vacuum energy for spinor, scalar and vector fields

          N. Shtykov (1994)
          We compute the one-loop potential (the Casimir energy) for scalar, spinor and vectors fields on the spaces \(\,R^{m+1}\, \times\,Y\) with \(\,Y=\,S^N\,,CP^2\). As a physical model we consider spinor electrodynamics on four-dimensional product manifolds. We examine the cancelation of a divergent part of the Casimir energy on even-dimensional spaces by means of including the parameter \(\,M\) in original action. For some models we compare our results with those found in the literature.
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            Publication date Created: 25 June 1997
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            ArXiV ID: quant-ph/9706055
            SO-VID: ac10ba16-b903-40d9-9907-e7725a02fa79
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            Comments LaTex, 4 pages. Published in the Proceedings of the Int. Seminar "Path Integrals and Applications"
            Categories quant-ph

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