Quantum reduced loop gravity: extension to gauge vector field

Jakub Bilski , Emanuele Alesci , Francesco Cianfrani , Pietro Donà (1) , Antonino Marcianò

1 CPT - Centre de Physique Théorique - UMR 7332

Within the framework of quantum reduced loop gravity, we quantize the Hamiltonian for a gauge vector field. The regularization can be performed using tools analogous to the ones adopted in full loop quantum gravity, while the matrix elements of the resulting operator between basis states are analytic coefficients. This analysis is the first step toward deriving the full quantum gravity corrections to the vector field semiclassical dynamics.

Mots clés: quantum gravity: loop space; gauge field theory: vector; quantum gravity: correction; regularization; semiclassical; quantization; gravitation; Hamiltonian

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

Jakub Bilski, Emanuele Alesci, Francesco Cianfrani, Pietro Donà, Antonino Marcianò. Quantum reduced loop gravity: extension to gauge vector field. Physical Review D, 2017, 95 (10), pp.104048. ⟨10.1103/PhysRevD.95.104048⟩. ⟨hal-01582864⟩