Effective local geometric quantities in fuzzy spaces from heat kernel expansions

Details Effective local geometric quantities in fuzzy spaces from heat kernel expansions Effective local geometric quantities in fuzzy spaces from heat kernel expansions

2005-02-15

arxiv.org/abs/hep-th/0502129v3

JHEP 0503 (2005) 015

Physics

High Energy Physics

High Energy Physics - Theory

Two references added, typos, 26 pages, many figures, LaTeX

Scientific paper

10.1088/1126-6708/2005/03/015

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.

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