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Shear Viscosity in the O(N) Model

Gert Aarts Orcid Logo, Jose M. Martinez Resco

Journal of High Energy Physics, Volume: "0402", Issue: 02, Pages: 061 - 061

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2004/02/061

Abstract

We compute the shear viscosity in the O(N) model at first nontrivial order in the large N expansion. The calculation is organized using the 1/N expansion of the 2PI effective action (2PI-1/N expansion) to next-to-leading order, which leads to an integral equation summing ladder and bubble diagrams....

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa22605
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first_indexed 2015-07-21T11:25:49Z
last_indexed 2018-02-09T05:00:56Z
id cronfa22605
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spelling 2015-07-21T11:29:13.8298016 v2 22605 2015-07-21 Shear Viscosity in the O(N) Model 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 SPH We compute the shear viscosity in the O(N) model at first nontrivial order in the large N expansion. The calculation is organized using the 1/N expansion of the 2PI effective action (2PI-1/N expansion) to next-to-leading order, which leads to an integral equation summing ladder and bubble diagrams. We also consider the weakly coupled theory for arbitrary N, using the three-loop expansion of the 2PI effective action. In the limit of weak coupling and vanishing mass, we find an approximate analytical solution of the integral equation. For general coupling and mass, the integral equation is solved numerically using a variational approach. The shear viscosity turns out to be close to the result obtained in the weak-coupling analysis. Journal Article Journal of High Energy Physics "0402" 02 061 061 1029-8479 28 2 2004 2004-02-28 10.1088/1126-6708/2004/02/061 http://inspirehep.net/record/644692 @articleAarts:2004sd, author = "Aarts, Gert and Martinez Resco, Jose M.", title = "Shear viscosity in the O(N) model", journal = "JHEP", volume = "0402", pages = "061", doi = "10.1088/1126-6708/2004/02/061", year = "2004", eprint = "hep-ph/0402192", archivePrefix = "arXiv", primaryClass = "hep-ph", SLACcitation = "%%CITATION = HEP-PH/0402192;%%", COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:15:01.6476004 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Jose M. Martinez Resco 2
title Shear Viscosity in the O(N) Model
spellingShingle Shear Viscosity in the O(N) Model
Gert Aarts
title_short Shear Viscosity in the O(N) Model
title_full Shear Viscosity in the O(N) Model
title_fullStr Shear Viscosity in the O(N) Model
title_full_unstemmed Shear Viscosity in the O(N) Model
title_sort Shear Viscosity in the O(N) Model
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Jose M. Martinez Resco
format Journal article
container_title Journal of High Energy Physics
container_volume "0402"
container_issue 02
container_start_page 061
publishDate 2004
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2004/02/061
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
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
url http://inspirehep.net/record/644692
document_store_str 0
active_str 0
description We compute the shear viscosity in the O(N) model at first nontrivial order in the large N expansion. The calculation is organized using the 1/N expansion of the 2PI effective action (2PI-1/N expansion) to next-to-leading order, which leads to an integral equation summing ladder and bubble diagrams. We also consider the weakly coupled theory for arbitrary N, using the three-loop expansion of the 2PI effective action. In the limit of weak coupling and vanishing mass, we find an approximate analytical solution of the integral equation. For general coupling and mass, the integral equation is solved numerically using a variational approach. The shear viscosity turns out to be close to the result obtained in the weak-coupling analysis.
published_date 2004-02-28T03:26:46Z
_version_ 1763750975764430848
score 11.035634

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