Further functional determinants
- 1 June 1995
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 12 (6) , 1363-1383
- https://doi.org/10.1088/0264-9381/12/6/005
Abstract
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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This publication has 37 references indexed in Scilit:
- Functional determinants on spheres and sectorsJournal of Mathematical Physics, 1994
- Effective action in spherical domainsCommunications in Mathematical Physics, 1994
- Critical Points of the Determinant of the Laplace OperatorJournal of Functional Analysis, 1994
- Functional determinants on regions of the plane and sphereClassical and Quantum Gravity, 1994
- One-loop quantum cosmology: ζ-Function technique for the Hartle-Hawking wave function of the universeAnnals of Physics, 1992
- Estimates and extremals for zeta function determinants on four-manifoldsCommunications in Mathematical Physics, 1992
- DIMENSIONAL REGULARIZATION IN THE 1/N EXPANSIONInternational Journal of Modern Physics A, 1992
- Local boundary conditions for the Dirac operator and one-loop quantum cosmologyPhysical Review D, 1991
- On the stress tensor of conformal field theories in higher dimensionsNuclear Physics B, 1989
- Extremals of determinants of LaplaciansJournal of Functional Analysis, 1988