Functional determinants on regions of the plane and sphere

Details Functional determinants on regions of the plane and sphere Functional determinants on regions of the plane and sphere

1993-10-20

arxiv.org/abs/hep-th/9310128v1

Class.Quant.Grav.11:557-566,1994

Physics

High Energy Physics

High Energy Physics - Theory

11pp, Plain TeX, MUTP/93/24

Scientific paper

10.1088/0264-9381/11/3/010

The standard formula for the change in the effective action under a conformal transformation is extended to the case when the boundary is piecewise smooth. We then find the functional determinants of the scalar Laplacian on regions of the plane obtained by stereographic projection of the fundamental domains on an orbifolded two-sphere. Examples treated are the sector of a disk and a circular crescent. The effective action on a spherical cap is also determined.

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