期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 50, 期 7, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3157146
关键词
Dirac equation; geometry; noncommutative field theory
We formulate a noncommutative generalization of the Ricci flow theory in the framework of spectral action approach to noncommutative geometry. Grisha Perelman's functionals are generated as commutative versions of certain spectral functionals defined by nonholonomic Dirac operators and corresponding spectral triples. We derive the formulas for spectral averaged energy and entropy functionals and state the conditions when such values describe (non)holonomic Riemannian configurations.
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