Effective local geometric quantities in fuzzy spaces from heat kernel expansions | Zendy

Naoki Sasakura | Zendy

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Effective local geometric quantities in fuzzy spaces from heat kernel expansions

Author(s) -

Naoki Sasakura

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/03/015

Subject(s) - mathematics , fuzzy logic , heat kernel , simple (philosophy) , kernel (algebra) , associative property , fuzzy subalgebra , algebra over a field , pure mathematics , mathematical analysis , fuzzy set , fuzzy number , computer science , artificial intelligence , philosophy , epistemology

The heat kernel expansion can be used as a tool to obtain the effectivegeometric quantities in fuzzy spaces. Generalizing the efficient methodpresented in the previous work on the global quantities, it is applied to theeffective local geometric quantities in compact fuzzy spaces. Some simple fuzzyspaces corresponding to singular spaces in continuum theory are studied asspecific examples. A fuzzy space with a non-associative algebra is alsostudied.Comment: Two references added, typos, 26 pages, many figures, LaTe

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