Lorentzian spinfoam propagator

Eugenio Bianchi (1, 2, 3) , You Ding (2, 3, 1)

1 CPT - E4 Gravité quantique
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332

The two-point correlation function is calculated in the Lorentzian EPRL spinfoam model, and shown to match with the one in Regge calculus in a proper limit: large boundary spins, and small Barbero-Immirzi parameter, keeping the size of the quantum geometry finite and fixed. Compared to the Euclidean case, the definition of a Lorentzian boundary state involves a new feature: the notion of past- and future-pointing intertwiners. The semiclassical correlation function is obtained for a time-oriented semiclassical boundary state.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Eugenio Bianchi, You Ding. Lorentzian spinfoam propagator. Physical Review D, 2012, 86, pp.104040. ⟨10.1103/PhysRevD.86.104040⟩. ⟨hal-00967274⟩