Functional determinants on spheres and sectors

DOI10.1063/1.530826zbMath0817.58043arXivhep-th/9312080OpenAlexW2081290810MaRDI QIDQ4327222

J. Stuart Dowker

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9312080

zbMATH Keywords

sphereLaplacian\(\zeta\)-functionminimal couplingfunctional determinants

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other Dirichlet series and zeta functions (11M41) Determinants and determinant bundles, analytic torsion (58J52)

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Cites Work

• Conformal invariants for determinants of Laplacians on Riemann surfaces
• Spectral functions, special functions and the Selberg zeta function
• Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
• Effective action in spherical domains
• One-loop quantum cosmology: \(\zeta\)-function technique for the Hartle-Hawking wave function of the universe
• Über die asymptotische Verteilung der Eigenwerte des Laplace-Operators für Gebiete auf der Kugeloberfläche
• Conformal transformations and the effective action in the presence of boundaries
• Determinants of Laplacians and Multiple Gamma Functions
• Functional determinants on regions of the plane and sphere