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Entanglement of heavy quark impurities and generalized gravitational entropy

Prem Kumar Orcid Logo, Dorian Silvani

Journal of High Energy Physics, Volume: 2018, Issue: 1

Swansea University Author: Prem Kumar Orcid Logo

  • JHEP01(2018)052.pdf

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DOI (Published version): 10.1007/JHEP01(2018)052

Abstract

We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS_5×S^5, dual to pointlike impurities exhibi...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa38041
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first_indexed 2018-01-12T14:16:10Z
last_indexed 2020-07-13T18:56:57Z
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spelling 2020-07-13T16:49:07.8276335 v2 38041 2018-01-12 Entanglement of heavy quark impurities and generalized gravitational entropy 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2018-01-12 SPH We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS_5×S^5, dual to pointlike impurities exhibiting flows between quarks in large-rank tensor representations and the fundamental representation. For the D5-brane embedding which describes the screening of fundamental quarks in the UV to the antisymmetric tensor representation in the IR, the EE excess decreases non-monotonically towards its IR asymptotic value, tracking the qualitative behaviour of the one-point function of static fields sourced by the impurity. We also examine two classes of D3-brane embeddings, one which connects a symmetric representation source in the UV to fundamental quarks in the IR, and a second category which yields the symmetric representation source on the Coulomb branch. The EE excess for the former increases from the UV to the IR, whilst decreasing and becoming negative for the latter. In all cases, the probe free energy on hyperbolic space with β = 2π increases monotonically towards the IR, supporting its interpretation as a relative entropy. We identify universal corrections, depending logarithmically on the VEV, for the symmetric representation on the Coulomb branch. Journal Article Journal of High Energy Physics 2018 1 1029-8479 AdS-CFT Correspondence, D-branes, Wilson, ’t Hooft and Polyakov loops 11 1 2018 2018-01-11 10.1007/JHEP01(2018)052 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-13T16:49:07.8276335 2018-01-12T09:46:49.2401470 Prem Kumar 0000-0003-0867-4213 1 Dorian Silvani 2 0038041-12012018094907.pdf JHEP01(2018)052.pdf 2018-01-12T09:49:07.8930000 Output 1125895 application/pdf Version of Record true 2018-01-11T00:00:00.0000000 Released under the terms of a Creative Commons Attribution 4.0 License (CC-BY). true eng
title Entanglement of heavy quark impurities and generalized gravitational entropy
spellingShingle Entanglement of heavy quark impurities and generalized gravitational entropy
Prem Kumar
title_short Entanglement of heavy quark impurities and generalized gravitational entropy
title_full Entanglement of heavy quark impurities and generalized gravitational entropy
title_fullStr Entanglement of heavy quark impurities and generalized gravitational entropy
title_full_unstemmed Entanglement of heavy quark impurities and generalized gravitational entropy
title_sort Entanglement of heavy quark impurities and generalized gravitational entropy
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Prem Kumar
Dorian Silvani
format Journal article
container_title Journal of High Energy Physics
container_volume 2018
container_issue 1
publishDate 2018
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP01(2018)052
document_store_str 1
active_str 0
description We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS_5×S^5, dual to pointlike impurities exhibiting flows between quarks in large-rank tensor representations and the fundamental representation. For the D5-brane embedding which describes the screening of fundamental quarks in the UV to the antisymmetric tensor representation in the IR, the EE excess decreases non-monotonically towards its IR asymptotic value, tracking the qualitative behaviour of the one-point function of static fields sourced by the impurity. We also examine two classes of D3-brane embeddings, one which connects a symmetric representation source in the UV to fundamental quarks in the IR, and a second category which yields the symmetric representation source on the Coulomb branch. The EE excess for the former increases from the UV to the IR, whilst decreasing and becoming negative for the latter. In all cases, the probe free energy on hyperbolic space with β = 2π increases monotonically towards the IR, supporting its interpretation as a relative entropy. We identify universal corrections, depending logarithmically on the VEV, for the symmetric representation on the Coulomb branch.
published_date 2018-01-11T03:48:03Z
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score 11.037056

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