THE CONFORMAL ANOMALY IN GENERAL RANK 1 SYMMETRIC SPACES AND ASSOCIATED OPERATOR PRODUCT
- 20 January 1998
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 13 (02) , 99-108
- https://doi.org/10.1142/s0217732398000140
Abstract
We compute the one-loop effective action and the conformal anomaly associated with the product ⊗pℒp of the Laplace type operators ℒp, p=1,2, acting in irreducible rank 1 symmetric spaces of non-compact type. The explicit form of the zeta functions and the conformal anomaly of the stress-energy momentum tensor is derived.Keywords
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This publication has 12 references indexed in Scilit:
- Topological Casimir energy for a general class of Clifford–Klein space–timesJournal of Mathematical Physics, 1997
- Quantum fields and extended objects in space-times with constant curvature spatial sectionPhysics Reports, 1996
- The conformal anomaly in N-dimensional spaces having a hyperbolic spatial sectionJournal of Mathematical Physics, 1995
- Gravity, non-commutative geometry and the Wodzicki residueJournal of Geometry and Physics, 1995
- The dirac operator and gravitationCommunications in Mathematical Physics, 1995
- The spinor heat kernel in maximally symmetric spacesCommunications in Mathematical Physics, 1992
- Theoretical principles of holographic crystallographyPhysical Review B, 1991
- Particle models and noncommutative geometryNuclear Physics B - Proceedings Supplements, 1991
- The action functional in non-commutative geometryCommunications in Mathematical Physics, 1988
- On the Selberg trace formula in the case of compact quotientBulletin of the American Mathematical Society, 1976