Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators
We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories....
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2004
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| _version_ | 1826273470470684672 |
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| author | Lucini, B Teper, M Wenger, U |
| author_facet | Lucini, B Teper, M Wenger, U |
| author_sort | Lucini, B |
| collection | OXFORD |
| description | We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories. We emphasise the major systematic errors that still need to be controlled in calculations of heavier k-strings, and perform calculations in SU(4) on an anisotropic lattice in a bid to minimise one of these. All these results point to the k-string tensions lying part-way between the 'MQCD' and 'Casimir Scaling' conjectures, with the power in 1/N of the leading correction lying ∈ [1,2]. We also obtain some evidence for the presence of quasi-stable strings in calculations that do not use sources, and observe some near-degeneracies between (excited) strings in different representations. We also calculate the lightest glueball masses for N = 2,..., 8, and extrapolate to N = ∞, obtaining results compatible with earlier work. We show that the N = ∞ factorisation of the euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N. © SISSA/ISAS 2004. |
| first_indexed | 2024-03-06T22:28:40Z |
| format | Journal article |
| id | oxford-uuid:5789409a-bc67-4ea4-88ae-926a44177031 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:28:40Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:5789409a-bc67-4ea4-88ae-926a441770312022-03-26T16:57:22ZGlueballs and k-strings in SU(N) gauge theories: calculations with improved operatorsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5789409a-bc67-4ea4-88ae-926a44177031EnglishSymplectic Elements at Oxford2004Lucini, BTeper, MWenger, UWe test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the tensions of k-strings in SU(4), SU(6), and SU(8) gauge theories. We emphasise the major systematic errors that still need to be controlled in calculations of heavier k-strings, and perform calculations in SU(4) on an anisotropic lattice in a bid to minimise one of these. All these results point to the k-string tensions lying part-way between the 'MQCD' and 'Casimir Scaling' conjectures, with the power in 1/N of the leading correction lying ∈ [1,2]. We also obtain some evidence for the presence of quasi-stable strings in calculations that do not use sources, and observe some near-degeneracies between (excited) strings in different representations. We also calculate the lightest glueball masses for N = 2,..., 8, and extrapolate to N = ∞, obtaining results compatible with earlier work. We show that the N = ∞ factorisation of the euclidean correlators that are used in such mass calculations does not make the masses any less calculable at large N. © SISSA/ISAS 2004. |
| spellingShingle | Lucini, B Teper, M Wenger, U Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators |
| title | Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators |
| title_full | Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators |
| title_fullStr | Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators |
| title_full_unstemmed | Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators |
| title_short | Glueballs and k-strings in SU(N) gauge theories: calculations with improved operators |
| title_sort | glueballs and k strings in su n gauge theories calculations with improved operators |
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