Statistical and entanglement entropy for black holes in quantum geometry

Alejandro Perez (1, 2)

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

We analyze the relationship between entanglement (or geometric) entropy with statistical mechanical entropy of horizon degrees of freedom when described in the framework of isolated horizons in loop quantum gravity. We show that, once the relevant degrees of freedom are identified, the two notions coincide. The key ingredient linking the two notions is the structure of quantum geometry at Planck scale implied by loop quantum gravity, where correlations between the inside and outside of the black hole are mediated by eigenstates of the horizon area operator.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Alejandro Perez. Statistical and entanglement entropy for black holes in quantum geometry. Physical Review D, 2014, 90 (8), pp.084015. ⟨10.1103/PhysRevD.90.084015⟩. ⟨hal-01016449⟩