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Lattice Monte Carlo data versus perturbation theory

Chris Allton Orcid Logo

Swansea University Author: Chris Allton Orcid Logo

Abstract

The differences between lattice Monte Carlo data and perturbation theory are usually associated with the ``bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormal...

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Published: 1996
Online Access: http://inspirehep.net/record/424611
URI: https://cronfa.swan.ac.uk/Record/cronfa28464
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spelling 2016-08-08T12:37:58.9269093 v2 28464 2016-06-02 Lattice Monte Carlo data versus perturbation theory de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH The differences between lattice Monte Carlo data and perturbation theory are usually associated with the ``bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. An improvement in the agreement between lattice data and this new perturbation series is generally observed. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. The success of this procedure leads to a determination of Lambda_MSbar~{N_f=0} of 220 +- 20 MeV. Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. The new 3-loop term of the lattice beta- function has been incorporated in this study. A discussion of the implication of this result for lattice calculations is presented. Working paper 31 12 1996 1996-12-31 http://inspirehep.net/record/424611 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:37:58.9269093 2016-06-02T15:06:22.2689682 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Chris Allton 0000-0003-0795-124X 1
title Lattice Monte Carlo data versus perturbation theory
spellingShingle Lattice Monte Carlo data versus perturbation theory
Chris Allton
title_short Lattice Monte Carlo data versus perturbation theory
title_full Lattice Monte Carlo data versus perturbation theory
title_fullStr Lattice Monte Carlo data versus perturbation theory
title_full_unstemmed Lattice Monte Carlo data versus perturbation theory
title_sort Lattice Monte Carlo data versus perturbation theory
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 Chris Allton
format Working paper
publishDate 1996
institution Swansea University
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/424611
document_store_str 0
active_str 0
description The differences between lattice Monte Carlo data and perturbation theory are usually associated with the ``bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. An improvement in the agreement between lattice data and this new perturbation series is generally observed. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. The success of this procedure leads to a determination of Lambda_MSbar~{N_f=0} of 220 +- 20 MeV. Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. The new 3-loop term of the lattice beta- function has been incorporated in this study. A discussion of the implication of this result for lattice calculations is presented.
published_date 1996-12-31T03:34:37Z
_version_ 1763751470574862336
score 11.017464

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