Robin conditions on the Euclidean ball

Details Robin conditions on the Euclidean ball Robin conditions on the Euclidean ball

1995-06-07

arxiv.org/abs/hep-th/9506042v2

Class.Quant.Grav. 13 (1996) 585-610

Physics

High Energy Physics

High Energy Physics - Theory

36p,JyTex, misprints corrected and a section on the massive case added

Scientific paper

10.1088/0264-9381/13/4/003

Techniques are presented for calculating directly the scalar functional determinant on the Euclidean d-ball. General formulae are given for Dirichlet and Robin boundary conditions. The method involves a large mass asymptotic limit which is carried out in detail for d=2 and d=4 incidentally producing some specific summations and identities. Extensive use is made of the Watson-Kober summation formula.

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