Functional determinants on spheres and sectors

Details Functional determinants on spheres and sectors Functional determinants on spheres and sectors

1993-12-10

arxiv.org/abs/hep-th/9312080v1

J.Math.Phys. 35 (1994) 4989-4999; Erratum-ibid. 36 (1995) 988

Physics

High Energy Physics

High Energy Physics - Theory

14 pages,4 figures on request,Plain TeX

Scientific paper

10.1063/1.531171

The scalar functional determinants on sectors of the two-dimensional disc and
spherical cap are determined for arbitrary angles (rational factors of $\pi$).
The wholesphere and hemisphere expressions are also given, in low dimensions,
for both the ordinary and the conformal Laplacian. Comparisons are made with
other work.

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