Vacuum energy for 3+1 dimensional space-time with compact hyperbolic spatial part

DOI10.1063/1.529530zbMath0765.53060OpenAlexW2047449004MaRDI QIDQ4031020

Andrei A. Bytsenko, Luciano Vanzo, Guido Cognola

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529530

zbMATH Keywords

Selberg trace formulazeta-functionmassless scalar fieldheat kernel regularization techniques

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Applications of manifolds of mappings to the sciences (58D30) Kaluza-Klein and other higher-dimensional theories (83E15) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

The local zeta function for symmetric spaces of non-compact type

Cites Work

• Zeta-functions of binary Hermitian forms and special values of Eisenstein series
• Zeta function regularization of path integrals in curved spacetime
• Determinants of Laplacians in real line bundles over hyperbolic manifolds connected with quantum geometry of membranes
• EVALUATION OF A CLASS OF THE LAPLACE OPERATOR DETERMINANTS CONNECTED WITH QUANTUM GEOMETRY OF p-BRANES
• MASSLESS SCALAR CASIMIR EFFECT IN A CLASS OF HYPERBOLIC KALUZA-KLEIN SPACE-TIMES
• Topological Casimir effect for a class of hyperbolic four-dimensional Clifford-Klein spacetimes
• Topological Casimir effect for a class of hyperbolic three-dimensional Clifford-Klein spacetimes
• The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes

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