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The phase diagram of the three dimensional Thirring model

Simon Hands, Biagio Lucini Orcid Logo

Physics Letters B, Volume: "B461", Issue: 3, Pages: 263 - 269

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1016/S0370-2693(99)00843-6

Abstract

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous chiral symmetry breaking transition for Nf approximately eq...

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Published in: Physics Letters B
ISSN: 03702693
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa27971
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last_indexed 2018-02-09T05:11:36Z
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spelling 2016-05-14T16:42:34.8016377 v2 27971 2016-05-14 The phase diagram of the three dimensional Thirring model 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous chiral symmetry breaking transition for Nf approximately equal to 3 with critical exponents consistent with expectations from previous studies. For Nf=5 the order of the transition is difficult to determine on the lattice sizes explored. We present a phase diagram for the model in the (1/g^2,Nf) plane and contrast our findings with expectations based on approximate solutions of the continuum Schwinger-Dyson equations. Journal Article Physics Letters B "B461" 3 263 269 03702693 30 6 1999 1999-06-30 10.1016/S0370-2693(99)00843-6 http://inspirehep.net/record/501616 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:34.8016377 2016-05-14T16:42:34.5832363 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Simon Hands 1 Biagio Lucini 0000-0001-8974-8266 2
title The phase diagram of the three dimensional Thirring model
spellingShingle The phase diagram of the three dimensional Thirring model
Biagio Lucini
title_short The phase diagram of the three dimensional Thirring model
title_full The phase diagram of the three dimensional Thirring model
title_fullStr The phase diagram of the three dimensional Thirring model
title_full_unstemmed The phase diagram of the three dimensional Thirring model
title_sort The phase diagram of the three dimensional Thirring model
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Simon Hands
Biagio Lucini
format Journal article
container_title Physics Letters B
container_volume "B461"
container_issue 3
container_start_page 263
publishDate 1999
institution Swansea University
issn 03702693
doi_str_mv 10.1016/S0370-2693(99)00843-6
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/501616
document_store_str 0
active_str 0
description We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous chiral symmetry breaking transition for Nf approximately equal to 3 with critical exponents consistent with expectations from previous studies. For Nf=5 the order of the transition is difficult to determine on the lattice sizes explored. We present a phase diagram for the model in the (1/g^2,Nf) plane and contrast our findings with expectations based on approximate solutions of the continuum Schwinger-Dyson equations.
published_date 1999-06-30T03:34:00Z
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score 11.037581

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