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Study of lattice correlation functions at small times using the QCD sum rules continuum model

Stefano Capitani, Chris Allton Orcid Logo

Nuclear Physics B, Volume: 526, Issue: 1-3, Pages: 463 - 486

Swansea University Author: Chris Allton Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(98)00416-7

Abstract

In this paper we study the work of Leinweber by applying the Continuum Model of QCD Sum Rules (QCDSR) to the analysis of (quenched) lattice correlation functions. We expand upon his work in several areas: we study meson states as well as baryons; we analyse data from several lattice spacings; and we...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1998
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URI: https://cronfa.swan.ac.uk/Record/cronfa28435
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spelling 2016-08-08T12:33:14.8615519 v2 28435 2016-06-02 Study of lattice correlation functions at small times using the QCD sum rules continuum model de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH In this paper we study the work of Leinweber by applying the Continuum Model of QCD Sum Rules (QCDSR) to the analysis of (quenched) lattice correlation functions. We expand upon his work in several areas: we study meson states as well as baryons; we analyse data from several lattice spacings; and we include data from the Sheikholeslami-Wohlert (clover) improved action. We find that the QCDSR Continuum Model Ansatz can reproduce the data, but only for non-physical values of its parameters. This leads us to reject it as a model for hadronic correlation functions. We study the non-relativistic quark model and conclude that it predicts essentially the same form for the correlation function as the QCDSR Continuum Model approach. Furthermore, because it doesn't have the Continuum Model's restrictions on the parameters, the non-relativistic quark model can be viewed as a successful Ansatz. As well as studying the validity or otherwise of the QCDSR Continuum Model approach, this paper defines 4-parameter fitting functions that can be used to fit lattice data even for a time window close to the source. These functions are shown to be an improvement over 2-exponential fits especially in the case of mesons. We encourage the application of this approach to situations where the conventional fitting procedures are problematic due to poor ground state dominance. Journal Article Nuclear Physics B 526 1-3 463 486 05503213 31 12 1998 1998-12-31 10.1016/S0550-3213(98)00416-7 http://inspirehep.net/record/451856 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:33:14.8615519 2016-06-02T15:05:52.7535790 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Stefano Capitani 1 Chris Allton 0000-0003-0795-124X 2
title Study of lattice correlation functions at small times using the QCD sum rules continuum model
spellingShingle Study of lattice correlation functions at small times using the QCD sum rules continuum model
Chris Allton
title_short Study of lattice correlation functions at small times using the QCD sum rules continuum model
title_full Study of lattice correlation functions at small times using the QCD sum rules continuum model
title_fullStr Study of lattice correlation functions at small times using the QCD sum rules continuum model
title_full_unstemmed Study of lattice correlation functions at small times using the QCD sum rules continuum model
title_sort Study of lattice correlation functions at small times using the QCD sum rules continuum model
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 Stefano Capitani
Chris Allton
format Journal article
container_title Nuclear Physics B
container_volume 526
container_issue 1-3
container_start_page 463
publishDate 1998
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(98)00416-7
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/451856
document_store_str 0
active_str 0
description In this paper we study the work of Leinweber by applying the Continuum Model of QCD Sum Rules (QCDSR) to the analysis of (quenched) lattice correlation functions. We expand upon his work in several areas: we study meson states as well as baryons; we analyse data from several lattice spacings; and we include data from the Sheikholeslami-Wohlert (clover) improved action. We find that the QCDSR Continuum Model Ansatz can reproduce the data, but only for non-physical values of its parameters. This leads us to reject it as a model for hadronic correlation functions. We study the non-relativistic quark model and conclude that it predicts essentially the same form for the correlation function as the QCDSR Continuum Model approach. Furthermore, because it doesn't have the Continuum Model's restrictions on the parameters, the non-relativistic quark model can be viewed as a successful Ansatz. As well as studying the validity or otherwise of the QCDSR Continuum Model approach, this paper defines 4-parameter fitting functions that can be used to fit lattice data even for a time window close to the source. These functions are shown to be an improvement over 2-exponential fits especially in the case of mesons. We encourage the application of this approach to situations where the conventional fitting procedures are problematic due to poor ground state dominance.
published_date 1998-12-31T03:34:34Z
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score 11.035634

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