Recognition: unknown
Spectral action on noncommutative torus
classification
✦ hep-th
math-phmath.MP
keywords
actionfunctionsholomorphicnoncommutativeobtainedspectraltoruschamseddine--connes
read the original abstract
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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