Inhomogeneous multidimensional Epstein zeta functions

DOI10.1063/1.529045zbMath0753.11032OpenAlexW1975443199MaRDI QIDQ3987398

Klaus Kirsten

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529045

zbMATH Keywords

Dirichlet boundary conditionsheat kernelCasimir effectflat space-timethermodynamic potentialspole structurehigh-temperature expansionsphysical applicationinhomogeneous Epstein zeta-functions

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quantum field theory on curved space or space-time backgrounds (81T20) Other Dirichlet series and zeta functions (11M41)

Related Items (13)

On the vacuum stability in the Efimov–Fradkin model at finite temperature ⋮ Three-dimensional Casimir piston for massive scalar fields ⋮ Generalized multidimensional Epstein zeta functions ⋮ REPORT ON THE DETAILED CALCULATION OF THE EFFECTIVE POTENTIAL IN SPACETIMES WITH S¹ × R^d TOPOLOGY AND AT FINITE TEMPERATURE ⋮ Topological symmetry breaking in self-interacting theories on toroidal space–time ⋮ Kaluza-Klein pistons with noncommutative extra dimensions ⋮ Casimir free energy for massive scalars: a comparative study of various approaches ⋮ Topological Casimir energy for a general class of Clifford–Klein space–times ⋮ Generalized thermal zeta-functions ⋮ CASIMIR EFFECT AND FUZZY SPHERE AS EXTRA DIMENSIONAL SPACE ⋮ Finite size effects in thermal field theory ⋮ Master equation vs. partition function: canonical statistics of ideal Bose-Einstein condensates ⋮ SLAB BAG FERMIONIC CASIMIR EFFECT, CHIRAL BOUNDARIES AND VECTOR BOSON — MAJORANA FERMION PISTONS

Cites Work

• Spectral functions, special functions and the Selberg zeta function
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Zeta function regularization of path integrals in curved spacetime
• Multiple zeta functions with arbitrary exponents
• Expressions for the zeta-function regularized Casimir energy
• REGULARIZATION OF GENERAL MULTIDIMENSIONAL EPSTEIN ZETA-FUNCTIONS
• Casimir effect at finite temperature
• One-loop Feynman diagram zeta functions for toroidal spacetime
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
• On Gauge Invariance and Vacuum Polarization

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