Vacuum energies on spheres and in cubes

2011/06/18 by J. S. Dowker, Dowker, J. S.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.1106.3657

A reissue of a 1983 report, SPIRES PRINT-83-1086. 9 pages

arxiv created 2011/06/18 · openalex publication_date 2011/06/18 · arxiv updated 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The vacuum energy of a conformally coupled scalar field on the d-dimensional sphere is calculated. On even spheres it is zero and on odd spheres it oscillates in sign. Results for the d-torus and d-cube are also given.

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• Vacuum energy on orbifold factors of spheres

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