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arxiv: 0704.0564 · v2 · submitted 2007-04-04 · ✦ hep-th · math-ph· math.MP

Spectral action on noncommutative torus

classification ✦ hep-th math-phmath.MP
keywords actionfunctionsholomorphicnoncommutativeobtainedspectraltoruschamseddine--connes
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The spectral action on noncommutative torus is obtained, using a Chamseddine--Connes formula via computations of zeta functions. The importance of a Diophantine condition is outlined. Several results on holomorphic continuation of series of holomorphic functions are obtained in this context.

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