Finite temperature Casimir effect on spherical shells in (D + 1)-dimensional spacetime and its high temperature limit

DOI10.1063/1.4824466zbMath1292.81126arXiv1305.2240OpenAlexW3102764102MaRDI QIDQ5410894

Lee-Peng Teo

Publication date: 17 April 2014

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

Full work available at URL: https://arxiv.org/abs/1305.2240

zbMATH Keywords

heat kernelfinite temperatureCasimir effectzeta function regularization

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Statistical thermodynamics (82B30) Thermal quantum field theory (81T28) Casimir effect in quantum field theory (81T55)

Related Items (1)

Virial coefficients expressed by heat kernel coefficients

Cites Work

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• Heat-kernels and functional determinants on the generalized cone
• Spinors and forms on the ball and the generalized cone
• Zeta function for the Laplace operator acting on forms in a ball with gauge boundary conditions
• Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles
• Casimir energies for spherically symmetric cavities
• The Casimir effect: recent controversies and progress
• Heat kernel coefficients of the Laplace operator on the D-dimensional ball
• Electromagnetic Casimir effect on the boundary of a D -dimensional cavity and the high temperature asymptotics

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