Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity

Martin Bojowald , Suddhasattwa Brahma , Ding Ding , Michele Ronco (1)

1 LPNHE (UMR_7585) - Laboratoire de Physique Nucléaire et de Hautes Énergies

Different versions of consistent canonical realizations of hypersurface deformations of spherically symmetric spacetimes have been derived in models of loop quantum gravity, modifying the classical dynamics and sometimes also the structure of spacetime. Based on a canonical version of effective field theory, this paper provides a unified treatment, showing that modified spacetime structures are generic in this setting. The special case of Euclidean gravity demonstrates agreement also with existing operator calculations.

Mots clés: String theory; quantum gravity; gauge/gravity duality; quantum gravity: loop space; symmetry: rotation; gravitation: Euclidean; space-time; deformation; structure; effective field theory; self-duality; covariance; Immirzi parameter; invariance: gauge; Hamiltonian formalism; diffeomorphism

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

Martin Bojowald, Suddhasattwa Brahma, Ding Ding, Michele Ronco. Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity. Phys.Rev.D, 2020, 101 (2), pp.026001. ⟨10.1103/PhysRevD.101.026001⟩. ⟨hal-02362134⟩