Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly

DOI10.1142/S0217751X03015635zbMath1038.58040arXivhep-th/0305031OpenAlexW3104489229MaRDI QIDQ4440713

M. E. X. Guimarães, Andrei A. Bytsenko, Emilio Elizalde

Publication date: 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0305031

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (4)

THERMODYNAMICS OF ABELIAN GAUGE FIELDS IN REAL HYPERBOLIC SPACES ⋮ Orbifold compactification and solutions of M-theory from milne spaces ⋮ Casimir effect for gauge fields in spaces with negative constant curvature ⋮ Complex Topological Invariants of Three-Hyperbolic Manifolds

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• The action functional in non-commutative geometry
• On the Plancherel measure for linear Lie groups of rank one
• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• The Dirac operator and gravitation
• The spectral action principle
• Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly
• Complete determination of the singularity structure of zeta functions
• Topological Casimir energy for a general class of Clifford–Klein space–times
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
• Asymptotics of the heat kernel on rank-1 locally symmetric spaces

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