Functional determinants on spheres and sectors

Abstract

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.

14 pages,4 figures on request,Plain TeX

Cited by in corpus (5)

• Functional Determinants in Quantum Field Theory
• Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions
• Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly
• Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity
• Recurrence formulae for spectral determinants