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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Format: | Article |
Language: | English |
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SpringerOpen
2023-12-01
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Series: | Journal of High Energy Physics |
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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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institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T16:22:26Z |
publishDate | 2023-12-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
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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