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Application of the maximum entropy method to the(2+1)Dfour-fermion model

J.B. Kogut, S.J. Hands Orcid Logo, C.G. Strouthos, J.E. Clowser, Chris Allton Orcid Logo

Physical Review D, Volume: 66, Issue: 9

Swansea University Author: Chris Allton Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.66.094511

Abstract

We investigate spectral functions extracted using the Maximum Entropy Method from correlators measured in lattice simulations of the (2+1)-dimensional four-fermion model. This model is particularly interesting because it has both a chirally broken phase with a rich spectrum of mesonic bound states a...

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Published in: Physical Review D
ISSN: 0556-2821 1089-4918
Published: 2002
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URI: https://cronfa.swan.ac.uk/Record/cronfa28491
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first_indexed 2016-06-02T18:23:41Z
last_indexed 2018-02-09T05:12:40Z
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spelling 2016-08-08T12:34:00.5859502 v2 28491 2016-06-02 Application of the maximum entropy method to the(2+1)Dfour-fermion model de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH We investigate spectral functions extracted using the Maximum Entropy Method from correlators measured in lattice simulations of the (2+1)-dimensional four-fermion model. This model is particularly interesting because it has both a chirally broken phase with a rich spectrum of mesonic bound states and a symmetric phase where there are only resonances. In the broken phase we study the elementary fermion, pion, sigma and massive pseudoscalar meson: our results confirm the Goldstone nature of the pi and permit an estimate of the meson binding energy. We have, however, seen no signal of sigma -> pi pi decay as the chiral limit is approached. In the symmetric phase we observe a resonance of non-zero width in qualitative agreement with analytic expectations: in addition the ultra-violet behaviour of the spectral functions is consistent with the large non-perturbative anomalous dimension for fermion composite operators expected in this model. Journal Article Physical Review D 66 9 0556-2821 1089-4918 31 12 2002 2002-12-31 10.1103/PhysRevD.66.094511 http://inspirehep.net/record/593193 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:34:00.5859502 2016-06-02T15:06:54.4051742 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics J.B. Kogut 1 S.J. Hands 0000-0001-5720-7852 2 C.G. Strouthos 3 J.E. Clowser 4 Chris Allton 0000-0003-0795-124X 5
title Application of the maximum entropy method to the(2+1)Dfour-fermion model
spellingShingle Application of the maximum entropy method to the(2+1)Dfour-fermion model
Chris Allton
title_short Application of the maximum entropy method to the(2+1)Dfour-fermion model
title_full Application of the maximum entropy method to the(2+1)Dfour-fermion model
title_fullStr Application of the maximum entropy method to the(2+1)Dfour-fermion model
title_full_unstemmed Application of the maximum entropy method to the(2+1)Dfour-fermion model
title_sort Application of the maximum entropy method to the(2+1)Dfour-fermion model
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 J.B. Kogut
S.J. Hands
C.G. Strouthos
J.E. Clowser
Chris Allton
format Journal article
container_title Physical Review D
container_volume 66
container_issue 9
publishDate 2002
institution Swansea University
issn 0556-2821
1089-4918
doi_str_mv 10.1103/PhysRevD.66.094511
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/593193
document_store_str 0
active_str 0
description We investigate spectral functions extracted using the Maximum Entropy Method from correlators measured in lattice simulations of the (2+1)-dimensional four-fermion model. This model is particularly interesting because it has both a chirally broken phase with a rich spectrum of mesonic bound states and a symmetric phase where there are only resonances. In the broken phase we study the elementary fermion, pion, sigma and massive pseudoscalar meson: our results confirm the Goldstone nature of the pi and permit an estimate of the meson binding energy. We have, however, seen no signal of sigma -> pi pi decay as the chiral limit is approached. In the symmetric phase we observe a resonance of non-zero width in qualitative agreement with analytic expectations: in addition the ultra-violet behaviour of the spectral functions is consistent with the large non-perturbative anomalous dimension for fermion composite operators expected in this model.
published_date 2002-12-31T03:34:40Z
_version_ 1763751473501437952
score 11.013799

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