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Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion

Gert Aarts Orcid Logo, Anders Tranberg

Physical Review D, Volume: "D74", Issue: 2, Start page: 025004

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.74.025004

Abstract

Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field approximations. However, in truncations used so far, only the leading-...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2006
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URI: https://cronfa.swan.ac.uk/Record/cronfa22596
first_indexed 2015-07-21T11:25:47Z
last_indexed 2018-02-09T05:00:55Z
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spelling 2015-07-21T11:29:13.8298016 v2 22596 2015-07-21 Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2015-07-21 BGPS Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field approximations. However, in truncations used so far, only the leading-order parts of the self energy responsible for memory loss, damping and equilibration are included, which makes it difficult to discuss convergence systematically. For that reason we derive the real and causal evolution equations for an O(N) model to next-to-next-to-leading order in the 2PI-1/N expansion. Due to the appearance of internal vertices the resulting equations appear intractable for a full-fledged 3+1 dimensional field theory. Instead, we solve the closely related three-loop approximation in the auxiliary-field formalism numerically in 0+1 dimensions (quantum mechanics) and compare to previous approximations and the exact numerical solution of the Schroedinger equation. Journal Article Physical Review D "D74" 2 025004 1550-7998 1550-2368 30 4 2006 2006-04-30 10.1103/PhysRevD.74.025004 http://inspirehep.net/record/715194 @articleAarts:2006cv, author = "Aarts, Gert and Tranberg, Anders", title = "Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion", journal = "Phys.Rev.", volume = "D74", pages = "025004", doi = "10.1103/PhysRevD.74.025004", year = "2006", eprint = "hep-th/0604156", archivePrefix = "arXiv", primaryClass = "hep-th", reportNumber = "SWAT-06-463, DAMTP-2006-28", SLACcitation = "%%CITATION = HEP-TH/0604156;%%", COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2015-07-21T11:29:13.8298016 2015-07-21T10:14:56.0159643 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 Anders Tranberg 2
title Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
spellingShingle Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
Gert Aarts
title_short Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
title_full Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
title_fullStr Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
title_full_unstemmed Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
title_sort Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 Gert Aarts
Anders Tranberg
format Journal article
container_title Physical Review D
container_volume "D74"
container_issue 2
container_start_page 025004
publishDate 2006
institution Swansea University
issn 1550-7998
1550-2368
doi_str_mv 10.1103/PhysRevD.74.025004
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/715194
document_store_str 0
active_str 0
description Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field approximations. However, in truncations used so far, only the leading-order parts of the self energy responsible for memory loss, damping and equilibration are included, which makes it difficult to discuss convergence systematically. For that reason we derive the real and causal evolution equations for an O(N) model to next-to-next-to-leading order in the 2PI-1/N expansion. Due to the appearance of internal vertices the resulting equations appear intractable for a full-fledged 3+1 dimensional field theory. Instead, we solve the closely related three-loop approximation in the auxiliary-field formalism numerically in 0+1 dimensions (quantum mechanics) and compare to previous approximations and the exact numerical solution of the Schroedinger equation.
published_date 2006-04-30T06:39:20Z
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score 11.055693

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