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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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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: Issued
 Pages: 4.5 pages
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 Table of Contents: -
 Rev. Type: -
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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: https://pure.mpg.de/cone/journals/resource/954925433406_1