The conformal anomaly in N-dimensional spaces having a hyperbolic spatial section

DOI10.1063/1.531215zbMath0846.58057arXivgr-qc/9505047OpenAlexW2078930968MaRDI QIDQ4873376

Andrei A. Bytsenko, Sergei D. Odintsov, Emilio Elizalde

Publication date: 19 May 1996

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9505047

zbMATH Keywords

conformal anomalySelberg trace formulaspinorszeta-function regularizationscalars\(N\)-dimensional sphere\(N\)-dimensional hyperbolic space

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Applications of PDEs on manifolds (58J90) Other Dirichlet series and zeta functions (11M41)

Related Items (5)

Anomalies and analytic torsion on hyperbolic manifolds ⋮ Boundary conformal anomalies on hyperbolic spaces and Euclidean balls ⋮ Free energy and defect \(C\)-theorem in free scalar theory ⋮ Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime ⋮ Holographic renormalization group and conformal anomaly for AdS\(_9\)/CFT\(_8\) correspondence

Cites Work

• Unnamed Item
• Spectral functions and zeta functions in hyperbolic spaces
• Perturbative approach to induced quantum gravity
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
• Non-local conformal anomalies

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