Effective local geometric quantities in fuzzy spaces from heat kernel expansions
High Energy Physics - Theory
2009-11-11 v3 General Relativity and Quantum Cosmology
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0502129,
title = {Effective local geometric quantities in fuzzy spaces from heat kernel expansions},
author = {Naoki Sasakura},
journal= {arXiv preprint arXiv:hep-th/0502129},
year = {2009}
}
Comments
Two references added, typos, 26 pages, many figures, LaTeX