Effective local geometric quantities in fuzzy spaces from heat kernel expansions

DOI DOI 被引用文献1件 オープンアクセス

書誌事項

公開日
2005-03-04
DOI
  • 10.1088/1126-6708/2005/03/015
  • 10.48550/arxiv.hep-th/0502129
公開者
Springer Science and Business Media LLC

説明

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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