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Determination of the running coupling in pure SU(4) Yang-Mills theory

Gregory Moraitis, Biagio Lucini Orcid Logo

Volume: "LAT2007", Start page: 058

Swansea University Author: Biagio Lucini Orcid Logo

Abstract

The Schrodinger functional is used to define a renormalised coupling for pure SU(4) Yang-Mills theory, with Wilson action and suitably selected boundary conditions on the link field. The coupling, which runs with the size of the lattice, is then determined by a finite-size scaling technique through...

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Published: 2007
Online Access: http://inspirehep.net/record/763418
URI: https://cronfa.swan.ac.uk/Record/cronfa27926
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spelling 2016-05-14T16:42:06.9710593 v2 27926 2016-05-14 Determination of the running coupling in pure SU(4) Yang-Mills theory 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA The Schrodinger functional is used to define a renormalised coupling for pure SU(4) Yang-Mills theory, with Wilson action and suitably selected boundary conditions on the link field. The coupling, which runs with the size of the lattice, is then determined by a finite-size scaling technique through a large range of momenta, thereby allowing a connection to be made between the high energy regime and the low energy non-perturbative regime, where contact is made with the physical scale of the theory. Using data from previous SU(2) and SU(3) simulations obtained with the same technique, the running of the 't Hooft coupling defined through the Schrodinger functional is studied, and we check whether the large-N expectation that g^2*N is a universal function of the energy scale E holds down to energies of the order of the string tension. Finally, we determine Lambda_SF in units of the string tension as a function of N at leading order in 1/N^2. Conference Paper/Proceeding/Abstract "LAT2007" 058 31 10 2007 2007-10-31 http://inspirehep.net/record/763418 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:06.9710593 2016-05-14T16:42:06.9710593 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gregory Moraitis 1 Biagio Lucini 0000-0001-8974-8266 2
title Determination of the running coupling in pure SU(4) Yang-Mills theory
spellingShingle Determination of the running coupling in pure SU(4) Yang-Mills theory
Biagio Lucini
title_short Determination of the running coupling in pure SU(4) Yang-Mills theory
title_full Determination of the running coupling in pure SU(4) Yang-Mills theory
title_fullStr Determination of the running coupling in pure SU(4) Yang-Mills theory
title_full_unstemmed Determination of the running coupling in pure SU(4) Yang-Mills theory
title_sort Determination of the running coupling in pure SU(4) Yang-Mills theory
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Gregory Moraitis
Biagio Lucini
format Conference Paper/Proceeding/Abstract
container_volume "LAT2007"
container_start_page 058
publishDate 2007
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/763418
document_store_str 0
active_str 0
description The Schrodinger functional is used to define a renormalised coupling for pure SU(4) Yang-Mills theory, with Wilson action and suitably selected boundary conditions on the link field. The coupling, which runs with the size of the lattice, is then determined by a finite-size scaling technique through a large range of momenta, thereby allowing a connection to be made between the high energy regime and the low energy non-perturbative regime, where contact is made with the physical scale of the theory. Using data from previous SU(2) and SU(3) simulations obtained with the same technique, the running of the 't Hooft coupling defined through the Schrodinger functional is studied, and we check whether the large-N expectation that g^2*N is a universal function of the energy scale E holds down to energies of the order of the string tension. Finally, we determine Lambda_SF in units of the string tension as a function of N at leading order in 1/N^2.
published_date 2007-10-31T03:33:54Z
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score 11.013799

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