Conference Paper/Proceeding/Abstract 523 views

### The glueball spectrum at large N

Antonio Rago, Enrico Rinaldi, Biagio Lucini

Volume: "LATTICE2010", Start page: 284

Swansea University Author:

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 http://inspirehep.net/record/875025 https://cronfa.swan.ac.uk/Record/cronfa27922 No Tags, Be the first to tag this record!
first_indexed 2016-05-15T01:22:47Z 2018-02-09T05:11:29Z cronfa27922 SURis 2016-05-14T16:42:04.8182455v2279222016-05-14The glueball spectrum at large N7e6fcfe060e07a351090e2a8aba363cf0000-0001-8974-8266BiagioLuciniBiagio Lucinitruefalse2016-05-14SMAThe 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"284311020102010-10-31http://inspirehep.net/record/875025COLLEGE NANMEMathematicsCOLLEGE CODESMASwansea University2016-05-14T16:42:04.81824552016-05-14T16:42:04.8182455Faculty of Science and EngineeringSchool of Biosciences, Geography and Physics - PhysicsAntonioRago1EnricoRinaldi2BiagioLucini0000-0001-8974-82663 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 The glueball spectrum at large N The glueball spectrum at large N Biagio Lucini The glueball spectrum at large N The glueball spectrum at large N The glueball spectrum at large N The glueball spectrum at large N The glueball spectrum at large N 7e6fcfe060e07a351090e2a8aba363cf 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini Biagio Lucini Antonio Rago Enrico Rinaldi Biagio Lucini Conference Paper/Proceeding/Abstract "LATTICE2010" 284 2010 Swansea University Faculty of Science and Engineering facultyofscienceandengineering Faculty of Science and Engineering facultyofscienceandengineering Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics http://inspirehep.net/record/875025 0 0 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. 2010-10-31T03:32:26Z 1762029990130483200 10.938396