Evaluation of Vacuum Energy for Tensor Fields on Spherical Spaces

1997/06/25 by E. N. Bukina, Bukina, E. N., N. N. Shtykov +1
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9706055

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

arxiv created 1997/06/25 · openalex publication_date 1997/06/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The effective one-loop potential on R^m+1× S^N 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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