Effective action in spherical domains

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, Plain TeX (Mailer oddities possibly corrected.)

Scientific paper

10.1007/BF02101749

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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