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Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model

Susan Morrison, Simon Hands, Biagio Lucini Orcid Logo

Physical Review Letters, Volume: "86", Issue: 5, Pages: 753 - 756

Swansea University Author: Biagio Lucini Orcid Logo

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Abstract

We present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes linearly with j as expected, but simulations in a reg...

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Published in: Physical Review Letters
ISSN: 0031-9007 1079-7114
Published: 2000
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URI: https://cronfa.swan.ac.uk/Record/cronfa27966
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last_indexed 2018-02-09T05:11:36Z
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spelling 2016-05-14T16:42:31.5568169 v2 27966 2016-05-14 Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes linearly with j as expected, but simulations in a region with non-zero baryon density suggest a power-law scaling and hence a critical system for all mu > mu_c. There is no diquark condensation signalling superfluidity. Comparisons are drawn with known results in two dimensional theories, and with the pseudogap phase in cuprate superconductors. We also measure the dispersion relation E(k) for fermionic excitations, and find results consistent with a sharp Fermi surface. Any superfluid gap Delta is constrained to be much less than the constituent quark mass scale Sigma_0. Journal Article Physical Review Letters "86" 5 753 756 0031-9007 1079-7114 31 8 2000 2000-08-31 10.1103/PhysRevLett.86.753 http://inspirehep.net/record/532656 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:31.5568169 2016-05-14T16:42:31.3696157 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Susan Morrison 1 Simon Hands 2 Biagio Lucini 0000-0001-8974-8266 3
title Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
spellingShingle Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
Biagio Lucini
title_short Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
title_full Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
title_fullStr Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
title_full_unstemmed Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
title_sort Critical Behavior in the Dense Planar Nambu–Jona-Lasinio Model
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Susan Morrison
Simon Hands
Biagio Lucini
format Journal article
container_title Physical Review Letters
container_volume "86"
container_issue 5
container_start_page 753
publishDate 2000
institution Swansea University
issn 0031-9007
1079-7114
doi_str_mv 10.1103/PhysRevLett.86.753
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/532656
document_store_str 0
active_str 0
description We present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes linearly with j as expected, but simulations in a region with non-zero baryon density suggest a power-law scaling and hence a critical system for all mu > mu_c. There is no diquark condensation signalling superfluidity. Comparisons are drawn with known results in two dimensional theories, and with the pseudogap phase in cuprate superconductors. We also measure the dispersion relation E(k) for fermionic excitations, and find results consistent with a sharp Fermi surface. Any superfluid gap Delta is constrained to be much less than the constituent quark mass scale Sigma_0.
published_date 2000-08-31T03:33:59Z
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