Spectral action beyond the weak-field approximation

Bruno Iochum (1) , C. Levy , D. Vassilevich

1 CPT - Centre de Physique Théorique - UMR 7332

The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, $p\to\infty$, the action decays as $1/p^4$ in any even dimension.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Bruno Iochum, C. Levy, D. Vassilevich. Spectral action beyond the weak-field approximation. Communications in Mathematical Physics, 2012, 316 (3), pp.595-613. ⟨10.1007/s00220-012-1587-8⟩. ⟨hal-00947094⟩