Robin conditions on the Euclidean ball
High Energy Physics - Theory
2016-09-06 v2 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.hep-th/9506042,
title = {Robin conditions on the Euclidean ball},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:hep-th/9506042},
year = {2016}
}
Comments
36p,JyTex, misprints corrected and a section on the massive case added