Spectral action on noncommutative torus

Details Spectral action on noncommutative torus Spectral action on noncommutative torus

2007-04-04

arxiv.org/abs/0704.0564v2

published in Journal of Noncommutative Geometry, 2 (2008), 53-123

Physics

High Energy Physics

High Energy Physics - Theory

57 pages

Scientific paper

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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