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Spectral action on noncommutative torus

High Energy Physics - Theory 2008-03-07 v2 Mathematical Physics math.MP

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.

Cite

@article{arxiv.0704.0564,
  title  = {Spectral action on noncommutative torus},
  author = {D. Essouabri and B. Iochum and C. Levy and A. Sitarz},
  journal= {arXiv preprint arXiv:0704.0564},
  year   = {2008}
}

Comments

57 pages