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  Horizon entropy from quantum gravity condensates

Oriti, D., Pranzetti, D., & Sindoni, L. (2016). Horizon entropy from quantum gravity condensates. Physical Review Letters, 116: 211301. doi:10.1103/PhysRevLett.116.211301.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-FE66-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0001-1878-E
Genre: Journal Article

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 Creators:
Oriti, Daniele1, Author              
Pranzetti, Daniele2, Author              
Sindoni, Lorenzo1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              
2Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, 67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We construct condensate states encoding the continuum spherically symmetric quantum geometry of an isolated 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 an 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 entropy. By imposing consistency with the isolated horizon boundary conditions and semi-classical thermodynamical properties, we recover the Bekenstein--Hawking entropy formula for any value of the Immirzi parameter. Our analysis supports the equivalence between the von Neumann (entanglement) entropy interpretation and the Boltzmann (statistical) one.

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 Dates: 2015-10-2320162016
 Publication Status: Published in print
 Pages: 4.5 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1510.06991
URI: http://arxiv.org/abs/1510.06991
DOI: 10.1103/PhysRevLett.116.211301
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 116 Sequence Number: 211301 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: /journals/resource/954925433406_1