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Conference Paper/Proceeding/Abstract 778 views

The glueball spectrum at large N

Antonio Rago, Enrico Rinaldi, Biagio Lucini Orcid Logo

Volume: "LATTICE2010", Start page: 284

Swansea University Author: Biagio Lucini Orcid Logo

Abstract

The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at temporal extension of the lattice $N_T = 6$. The calculation...

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Published: 2010
Online Access: http://inspirehep.net/record/875025
URI: https://cronfa.swan.ac.uk/Record/cronfa27922
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spelling 2016-05-14T16:42:04.8182455 v2 27922 2016-05-14 The glueball spectrum at large N 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at temporal extension of the lattice $N_T = 6$. The calculation is conducted employing in each channel a variational ansatz performed on a large basis of operators that includes also torelon and (for the lightest states) scattering trial functions. This basis is constructed using an automatic algorithm that allows us to build operators of any size and shape in any irreducible representation of the cubic group. A good signal is extracted for the ground state and the first excitation in several symmetry channels. It is shown that all the observed states are well described by their large $N$ values, with modest ${\cal O}(1/N^2)$ corrections. In addition spurious states are identified that couple to torelon and scattering operators. Conference Paper/Proceeding/Abstract "LATTICE2010" 284 31 10 2010 2010-10-31 http://inspirehep.net/record/875025 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:04.8182455 2016-05-14T16:42:04.8182455 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Antonio Rago 1 Enrico Rinaldi 2 Biagio Lucini 0000-0001-8974-8266 3
title The glueball spectrum at large N
spellingShingle The glueball spectrum at large N
Biagio Lucini
title_short The glueball spectrum at large N
title_full The glueball spectrum at large N
title_fullStr The glueball spectrum at large N
title_full_unstemmed The glueball spectrum at large N
title_sort The glueball spectrum at large N
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Antonio Rago
Enrico Rinaldi
Biagio Lucini
format Conference Paper/Proceeding/Abstract
container_volume "LATTICE2010"
container_start_page 284
publishDate 2010
institution Swansea University
college_str Faculty of Science and Engineering
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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/875025
document_store_str 0
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description The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at temporal extension of the lattice $N_T = 6$. The calculation is conducted employing in each channel a variational ansatz performed on a large basis of operators that includes also torelon and (for the lightest states) scattering trial functions. This basis is constructed using an automatic algorithm that allows us to build operators of any size and shape in any irreducible representation of the cubic group. A good signal is extracted for the ground state and the first excitation in several symmetry channels. It is shown that all the observed states are well described by their large $N$ values, with modest ${\cal O}(1/N^2)$ corrections. In addition spurious states are identified that couple to torelon and scattering operators.
published_date 2010-10-31T03:33:54Z
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