Effective local geometric quantities in fuzzy spaces from heat kernel expansions
arXiv:hep-th/0502129 · doi:10.1088/1126-6708/2005/03/015
Abstract
The heat kernel expansion can be used as a tool to obtain the effective geometric quantities in fuzzy spaces. Generalizing the efficient method presented in the previous work on the global quantities, it is applied to the effective local geometric quantities in compact fuzzy spaces. Some simple fuzzy spaces corresponding to singular spaces in continuum theory are studied as specific examples. A fuzzy space with a non-associative algebra is also studied.
Two references added, typos, 26 pages, many figures, LaTeX
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- Tensor model and dynamical generation of commutative nonassociative fuzzy spaces
- Heat kernel, effective action and anomalies in noncommutative theories
- Heat Trace Asymptotics on Noncommutative Spaces
- Diffeomorphisms on Fuzzy Sphere
- Free Energy on a Cycle Graph and Trigonometric Deformation of Heat Kernel Traces on Odd Spheres
- Non-commutative Corrections in Spectral Matrix Gravity
- Non-Perturbative Aspects of Quantum Electrodynamics on Curved Space and Investigations in Matrix Gravity