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Effective action in spherical domains

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DOI: 10.1007/BF02101749
OAI: oai:inspirehep.net:35401
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INSPIRE-HEP
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Abstract

The effective action on an orbifolded sphere is computed for minimally coupled scalar fields. The results are presented in terms of derivatives of Barnes zeta-functions and it is shown how these may be evaluated. Numerical values are shown. An analytical, heat-kernel derivation of the Ces\`aro-Fedorov formula for the number of symmetry planes of a regular solid is also presented.

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