Spectral action in noncommutative geometry: An example

B Iochum (1, 2)

1 CPT - E2 Géométrie, Physique et Symétries
2 CPT - Centre de Physique Théorique - UMR 7332

This is a report on a joint work [12] with D. Essouabri, C. Levy and A. Sitarz. 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 as far as the difficulties to go beyond. Some results on holomorphic continuation of series of holomorphic functions are presented.

Domaines: Physique mathématique [math-ph]

B Iochum. Spectral action in noncommutative geometry: An example. Journal of Physics: Conference Series, 2008, 103, pp.012019. ⟨10.1088/1742-6596/103/1/012019⟩. ⟨hal-01240831⟩