# Horizon Entropy from Quantum Gravity Condensates.

@article{Oriti2016HorizonEF, title={Horizon Entropy from Quantum Gravity Condensates.}, author={Daniele Oriti and Daniele Pranzetti and Lorenzo Sindoni}, journal={Physical review letters}, year={2016}, volume={116 21}, pages={ 211301 } }

We construct condensate states encoding the continuum spherically symmetric quantum geometry of a horizon in full quantum gravity, i.e., without any classical symmetry reduction, in the group field theory formalism. Tracing over the bulk degrees of freedom, we show how the resulting reduced density matrix manifestly exhibits a holographic behavior. We derive a complete orthonormal basis of eigenstates for the reduced density matrix of the horizon and use it to compute the horizon entanglement… Expand

#### Topics from this paper

#### 41 Citations

Black Holes as Quantum Gravity Condensates

- Physics
- 2018

We model spherically symmetric black holes within the group field theory formalism for quantum gravity via generalised condensate states, involving sums over arbitrarily refined graphs (dual to 3d… Expand

Finite entanglement entropy and spectral dimension in quantum gravity

- Physics
- 2017

What are the conditions on a field theoretic model leading to a finite entanglement entropy density? We prove two very general results: (1) Ultraviolet finiteness of a theory does not guarantee… Expand

Entanglement entropy, scale-dependent dimensions and the origin of gravity

- Physics
- 2017

We argue that the requirement of a finite entanglement entropy of quantum degrees of freedom across a boundary surface is closely related to the phenomenon of running spectral dimension, universal in… Expand

Quantum gravity predictions for black hole interior geometry

- Physics
- Physics Letters B
- 2019

Abstract In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its… Expand

Quantum Cosmology from Group Field Theory Condensates: a Review

- Physics
- 2016

We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field the- ory (GFT), based on the picture… Expand

Quantum theory of charged isolated horizons

- Physics
- 2018

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both the gauge and gravitational field are quantized. We consider the… Expand

The universe as a quantum gravity condensate

- Physics
- 2017

Abstract This is an introduction to the approach to the extraction of cosmological dynamics from full quantum gravity based on group field theory condensates. We outline its general perspective,… Expand

Deriving The Bekenstein-Hawking entropy by Statistical Mechanics and Quantization of Non-Commuting Spaces

- Physics
- 2019

In this paper, we derive the Bekenstein-Hawking entropy by considering a Non-Commuting two dimensional quantized space, and we will show that the Bekenstein-Hawking entropy is valid for the system… Expand

Holographic Entanglement in Group Field Theory

- Physics
- Universe
- 2019

This work is meant as a review summary of a series of recent results concerning the derivation of a holographic entanglement entropy formula for generic open spin network states in the group field… Expand

Quantum typicality in spin network states of quantum geometry

- Physics
- 2016

In this letter we extend the so-called typicality approach, originally formulated in statistical mechanics contexts, to SU(2) invariant spin network states. Our results do not depend on the physical… Expand

#### References

SHOWING 1-10 OF 16 REFERENCES

arXiv:1408.7112 [gr-qc]; D

- Oriti, Class. Quant. Grav. 33,
- 2016

Classical Quantum Gravity 32

- 235016
- 2015

Commun

- Math. Phys. 318, 69 (2013); S. Carrozza, D. Oriti, and V. Rivasseau, Commun. Math. Phys. 330, 581 (2014). PRL 116, 211301
- 2016

Europhys

- Lett. 107, 10005 (2014); J. Ben Achour, A. Mouchet, and K. Noui, J. High Energy Phys. 06
- 2015

Nucl

- Phys. B889, 1 (2014); D. Pranzetti and H. Sahlmann, Phys. Lett. B 746, 209
- 2015

Phys

- Rev. Lett. 111, no. 3, 031301 (2013) [arXiv:1303.3576 [gr-qc]]. S. Gielen, D. Oriti and L. Sindoni, JHEP 1406, 013
- 2014

Phys

- Rev. D 89, 104046
- 2014

SIGMA 8

- 048
- 2012

SIGMA 8

- 020
- 2012