Spectral action on noncommutative torus

D. Essouabri (1) , Bruno Iochum (2, 3) , C. Levy (2, 3) , A. Sitarz (4)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332
4 Institute of Physics

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

D. Essouabri, Bruno Iochum, C. Levy, A. Sitarz. Spectral action on noncommutative torus. Journal of Noncommutative Geometry, 2008, 2 (1), pp.53-123. ⟨hal-00145202⟩