Heat-kernels and functional determinants on the generalized cone

Abstract

We consider zeta functions and heat-kernel expansions on the bounded, generalized cone in arbitrary dimensions using an improved calculational technique. The specific case of a global monopole is analysed in detail and some restrictions thereby placed on the $A_{5/2}$ coefficient. The computation of functional determinants is also addressed. General formulas are given and known results are incidentally, and rapidly, reproduced.

26p,LaTeX.(Cosmetic changes and eqns (9.8),(11.2) corrected.)

References in corpus (4)

• Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region
• One-Loop Effective Action on the Four-Ball
• Functional determinants on Moebius corners
• Oddball determinants

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