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Vacuum energy on orbifold factors of spheres | | Peter Chang
; J.S.Dowker
; | | Date: |
2 Oct 1992 | | Journal: | Nucl. Phys. B395 (1993) 407 | | Subject: | hep-th | | Abstract: | The vacuum energy is calculated for a free, conformally-coupled scalar field on the orbifold space-time R$ imes S^2/Gamma$ where $Gamma$ is a finite subgroup of O(3) acting with fixed points. The energy vanishes when $Gamma$ is composed of pure rotations but not otherwise. It is shown on general grounds that the same conclusion holds for all even-dimensional factored spheres and the vacuum energies are given as generalised Bernoulli functions (i.e. Todd polynomials). The relevant $zeta$- functions are analysed in some detail and several identities are incidentally derived. The general discussion is presented in terms of finite reflection groups. | | Source: | arXiv, hep-th/9210013 | | Services: | Forum | Review | PDF | Favorites | |
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