Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces

Details Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces

1997-06-25

arxiv.org/abs/quant-ph/9706055v1

Physics

Quantum Physics

LaTex, 4 pages. Published in the Proceedings of the Int. Seminar "Path Integrals and Applications"

Scientific paper

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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