Further functional determinants

Details Further functional determinants Further functional determinants

1995-02-02

arxiv.org/abs/hep-th/9502015v1

Class.Quant.Grav.12:1363-1383,1995

Physics

High Energy Physics

High Energy Physics - Theory

25 p,JyTex,5 figs. on request.

Scientific paper

10.1088/0264-9381/12/6/005

Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalised cylinders are evaluated in two, three and four dimensions using conformal techniques. Both Dirichlet and Robin boundary conditions are allowed for. Some effects of non-smooth boundaries are discussed; in particular the 3-hemiball and the 3-hemishell are considered. The edge and vertex contributions to the $C_{3/2}$ coefficient are examined.

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