Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces
E. N. Bukina, N. N. Shtykov
Abstract
The effective one-loop potential on Rm+1× SN spaces for massless tensor fields is evaluated. The Casimir energy is given as a value of ζ- function by means of which regularization is made. In even- dimensional spaces the vacuum energy contains divergent terms coming from poles of ζ(s,q) at s=1, whereas in odd-dimensional spaces it becomes finite.
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