Topological Casimir energy for a general class of Clifford–Klein space–times

DOI10.1063/1.531871zbMath0871.58083OpenAlexW2076121494MaRDI QIDQ4338348

Floyd L. Williams

Publication date: 7 October 1997

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

Full work available at URL: https://doi.org/10.1063/1.531871

zbMATH Keywords

massless scalar fieldsClifford-Klein spacetimestopological Casimir effect

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Gravitational energy and conservation laws; groups of motions (83C40) Determinants and determinant bundles, analytic torsion (58J52)

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Anomalies and analytic torsion on hyperbolic manifolds, THERMODYNAMICS OF ABELIAN GAUGE FIELDS IN REAL HYPERBOLIC SPACES, The local zeta function for symmetric spaces of non-compact type, Forms on Vector Bundles Over Compact Real Hyperbolic Manifolds, Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly, Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly

Cites Work

• Zeta function regularization of path integrals in curved spacetime
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Casimir effect for ϕ ⁴ -theory in the flat homogeneous Clifford-Klein space-times
• Topological Casimir effect for a class of hyperbolic three-dimensional Clifford-Klein spacetimes
• Inhomogeneous multidimensional Epstein zeta functions
• On the Selberg trace formula in the case of compact quotient
• The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds