Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD

Aarts, Gert; Nikolaev, Aleksandr

doi:10.1140/epja/s10050-021-00436-5

Journal article 394 views 88 downloads

Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD

Gert Aarts

, Aleksandr Nikolaev

The European Physical Journal A, Volume: 57, Issue: 4

Swansea University Authors: Gert Aarts , Aleksandr Nikolaev

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DOI (Published version): 10.1140/epja/s10050-021-00436-5

Abstract

A discussion on the electrical conductivity of the quark-gluon plasma as determined by lattice QCD is given. After a reminder of basic definitions and expectations, various methods for spectral reconstruction are reviewed, including the use of Ansätze and sum rules, the Maximum Entropy and Backus-Gi...

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Published in:	The European Physical Journal A
ISSN:	1434-6001 1434-601X
Published:	Springer Science and Business Media LLC 2021
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URI:	https://cronfa.swan.ac.uk/Record/cronfa56631
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spelling	2022-08-16T12:17:55.7856704 v2 56631 2021-04-07 Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false dd83cd35ab11fa349b41d3bfb896a7a7 0000-0001-9267-1968 Aleksandr Nikolaev Aleksandr Nikolaev true false 2021-04-07 SPH A discussion on the electrical conductivity of the quark-gluon plasma as determined by lattice QCD is given. After a reminder of basic definitions and expectations, various methods for spectral reconstruction are reviewed, including the use of Ansätze and sum rules, the Maximum Entropy and Backus-Gilbert methods, and Tikhonov regularisation. A comprehensive overview of lattice QCD results obtained so far is given, including a comparison of the different lattice formulations. A noticeable consistency for the conductivities obtained is seen, in spite of the differences in the lattice setups and spectral reconstruction methods. It is found that in the case of quenched QCD little temperature dependence of σ/T is seen in the temperature range investigated, while for QCD with dynamical quarks a reduction of σ/T in the vicinity of the thermal crossover is observed, compared to its value in the QGP. Several open questions are posed at the end. Journal Article The European Physical Journal A 57 4 Springer Science and Business Media LLC 1434-6001 1434-601X 6 4 2021 2021-04-06 10.1140/epja/s10050-021-00436-5 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University This work is supported by STFC via grant ST/P00055X/1, the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme via grant agreement No. 813942, and by COST Action CA15213 THOR. A.N. also acknowledges the support by RFBR grant No. 18-02-40126. 2022-08-16T12:17:55.7856704 2021-04-07T11:35:57.0290906 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Aleksandr Nikolaev 0000-0001-9267-1968 2 56631__19742__4f99ba944e1d4c9ba62c0633f2166aeb.pdf 56631.pdf 2021-04-23T10:35:31.2955422 Output 567004 application/pdf Version of Record true © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/
title	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
spellingShingle	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD Gert Aarts Aleksandr Nikolaev
title_short	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
title_full	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
title_fullStr	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
title_full_unstemmed	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
title_sort	Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
author_id_str_mv	1ba0dad382dfe18348ec32fc65f3f3de dd83cd35ab11fa349b41d3bfb896a7a7
author_id_fullname_str_mv	1ba0dad382dfe18348ec32fc65f3f3de_*_Gert Aarts dd83cd35ab11fa349b41d3bfb896a7a7_*_Aleksandr Nikolaev
author	Gert Aarts Aleksandr Nikolaev
author2	Gert Aarts Aleksandr Nikolaev
format	Journal article
container_title	The European Physical Journal A
container_volume	57
container_issue	4
publishDate	2021
institution	Swansea University
issn	1434-6001 1434-601X
doi_str_mv	10.1140/epja/s10050-021-00436-5
publisher	Springer Science and Business Media LLC
college_str	Faculty of Science and Engineering
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hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description	A discussion on the electrical conductivity of the quark-gluon plasma as determined by lattice QCD is given. After a reminder of basic definitions and expectations, various methods for spectral reconstruction are reviewed, including the use of Ansätze and sum rules, the Maximum Entropy and Backus-Gilbert methods, and Tikhonov regularisation. A comprehensive overview of lattice QCD results obtained so far is given, including a comparison of the different lattice formulations. A noticeable consistency for the conductivities obtained is seen, in spite of the differences in the lattice setups and spectral reconstruction methods. It is found that in the case of quenched QCD little temperature dependence of σ/T is seen in the temperature range investigated, while for QCD with dynamical quarks a reduction of σ/T in the vicinity of the thermal crossover is observed, compared to its value in the QGP. Several open questions are posed at the end.
published_date	2021-04-06T04:11:43Z
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Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD

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