Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction

Abstract A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the entanglement entropy (EE) of strip subregions that we...

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Main Authors: Niko Jokela, Kari Rummukainen, Ahmed Salami, Arttu Pönni, Tobias Rindlisbacher
Format: Article
Language:English
Published: SpringerOpen 2023-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2023)137
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author Niko Jokela
Kari Rummukainen
Ahmed Salami
Arttu Pönni
Tobias Rindlisbacher
author_facet Niko Jokela
Kari Rummukainen
Ahmed Salami
Arttu Pönni
Tobias Rindlisbacher
author_sort Niko Jokela
collection DOAJ
description Abstract A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the entanglement entropy (EE) of strip subregions that we extract from pure glue Yang-Mills theory discretized on a lattice. Our main focus is on a three-dimensional Euclidean SU2 theory in the deconfining phase. Holographic EE suggests, and we find evidence for, that the scaling of the thermal entropy with temperature is to power 7/3 and that it approaches smoothly the critical point, consistent with black hole thermodynamics. In addition, we provide frugal results on the potential between quenched quarks by the computation of the Polyakov loop correlators on the lattice. Holographic arguments pique curiosity in the substratum of Debye screening at strong coupling.
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spelling doaj.art-7a008d735e944e89809af87a491cccf42024-03-31T11:08:06ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231215710.1007/JHEP12(2023)137Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstructionNiko Jokela0Kari Rummukainen1Ahmed Salami2Arttu Pönni3Tobias Rindlisbacher4Helsinki Institute of Physics and Department of Physics, University of HelsinkiHelsinki Institute of Physics and Department of Physics, University of HelsinkiHelsinki Institute of Physics and Department of Physics, University of HelsinkiDepartment of Electronics and Nanoengineering, Aalto UniversityAlbert Einstein Center for Fundamental Physics and Institute for Theoretical Physics, University of BernAbstract A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the entanglement entropy (EE) of strip subregions that we extract from pure glue Yang-Mills theory discretized on a lattice. Our main focus is on a three-dimensional Euclidean SU2 theory in the deconfining phase. Holographic EE suggests, and we find evidence for, that the scaling of the thermal entropy with temperature is to power 7/3 and that it approaches smoothly the critical point, consistent with black hole thermodynamics. In addition, we provide frugal results on the potential between quenched quarks by the computation of the Polyakov loop correlators on the lattice. Holographic arguments pique curiosity in the substratum of Debye screening at strong coupling.https://doi.org/10.1007/JHEP12(2023)137AdS-CFT CorrespondenceAlgorithms and Theoretical DevelopmentsGauge-Gravity CorrespondenceLattice Quantum Field Theory
spellingShingle Niko Jokela
Kari Rummukainen
Ahmed Salami
Arttu Pönni
Tobias Rindlisbacher
Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
Journal of High Energy Physics
AdS-CFT Correspondence
Algorithms and Theoretical Developments
Gauge-Gravity Correspondence
Lattice Quantum Field Theory
title Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
title_full Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
title_fullStr Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
title_full_unstemmed Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
title_short Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction
title_sort progress in the lattice evaluation of entanglement entropy of three dimensional yang mills theories and holographic bulk reconstruction
topic AdS-CFT Correspondence
Algorithms and Theoretical Developments
Gauge-Gravity Correspondence
Lattice Quantum Field Theory
url https://doi.org/10.1007/JHEP12(2023)137
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