Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces

E. N. Bukina; N. N. Shtykov

Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces

Quantum Physics 2007-05-23 v1

Authors: E. N. Bukina , N. N. Shtykov

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.

Keywords

vacuum energy casimir effect

Cite

@article{arxiv.quant-ph/9706055,
  title  = {Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces},
  author = {E. N. Bukina and N. N. Shtykov},
  journal= {arXiv preprint arXiv:quant-ph/9706055},
  year   = {2007}
}

Comments

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

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