Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario

DOI10.1016/S0550-3213(01)00083-9zbMath1097.58504arXivhep-th/0101105MaRDI QIDQ5935253

Klaus Kirsten, Dmitri V. Vassilevich, Peter B. Gilkey

Publication date: 20 June 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0101105

zbMATH Keywords

singular surfaceheat kernel expansionspectral Laplace-type operator geometry

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (15)

Resummed heat-kernel and form factors for surface contributions: Dirichlet semitransparent boundary conditions ⋮ Interface conformal anomalies ⋮ Wightman function and Casimir densities on AdS bulk with application to the Randall--Sundrum braneworld ⋮ Index theorems and domain walls ⋮ Wightman function and vacuum densities for a \(Z_2\)-symmetric thick brane in AdS spacetime ⋮ The Casimir effect for pistons with transmittal boundary conditions ⋮ Heat kernel expansion: user's manual ⋮ Chiral anomaly for local boundary conditions ⋮ Casimir effect for two spheres in a wormhole spacetime ⋮ Integral equations for heat kernel in compound media ⋮ The topology of the AdS/CFT/Randall-Sundrum complementarity ⋮ Vacuum Polarization by a Magnetic Flux of Special Cylindric Form ⋮ Casimir effect in de Sitter and anti–de Sitter braneworlds ⋮ Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex ⋮ Atiyah–Patodi–Singer index theorem for domain walls

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