Confinement and the effective string theory in SU (N -> infinity): a lattice study
We calculate in the SU(6) gauge theory the mass of the lightest flux loop that winds around a spatial torus, as a function of the torus size, taking care to achieve control of the main systematic errors. For comparison we perform a similar calculation in SU(4). We demonstrate approximate linear conf...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797102763596840960 |
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| author | Meyer, H Teper, M |
| author_facet | Meyer, H Teper, M |
| author_sort | Meyer, H |
| collection | OXFORD |
| description | We calculate in the SU(6) gauge theory the mass of the lightest flux loop that winds around a spatial torus, as a function of the torus size, taking care to achieve control of the main systematic errors. For comparison we perform a similar calculation in SU(4). We demonstrate approximate linear confinement and show that the leading correction is consistent with what one expects if the flux tube behaves like a simple bosonic string at long distances. We obtain similar but less accurate results for stable (k-)strings in higher representations. We find some evidence that for k > 1 the length scale at which the bosonic string correction becomes dominant increases as N increases. We perform all these calculations not just for long strings, up to about 2.5'fm' in length, but also for shorter strings, down to the minimum length, lc = 1/T c, where Tc is the deconfining temperature. We find that the mass of the ground-state string, at all length scales, is not very far from the simple Nambu-Goto string theory prediction, and that the fit improves as N increases from N = 4 to N = 6. We estimate the mass of the first excited string and find that it also follows the Nambu-Goto prediction, albeit more qualitatively. We comment upon the significance of these results for the string description of SU(N) gauge theories in the limit N = ∞. © SISSA/ISAS 2005. |
| first_indexed | 2024-03-07T06:10:25Z |
| format | Journal article |
| id | oxford-uuid:ef4bd8d4-66b0-4f74-9f4a-ccf761e3c695 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:10:25Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:ef4bd8d4-66b0-4f74-9f4a-ccf761e3c6952022-03-27T11:39:13ZConfinement and the effective string theory in SU (N -> infinity): a lattice studyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ef4bd8d4-66b0-4f74-9f4a-ccf761e3c695EnglishSymplectic Elements at Oxford2004Meyer, HTeper, MWe calculate in the SU(6) gauge theory the mass of the lightest flux loop that winds around a spatial torus, as a function of the torus size, taking care to achieve control of the main systematic errors. For comparison we perform a similar calculation in SU(4). We demonstrate approximate linear confinement and show that the leading correction is consistent with what one expects if the flux tube behaves like a simple bosonic string at long distances. We obtain similar but less accurate results for stable (k-)strings in higher representations. We find some evidence that for k > 1 the length scale at which the bosonic string correction becomes dominant increases as N increases. We perform all these calculations not just for long strings, up to about 2.5'fm' in length, but also for shorter strings, down to the minimum length, lc = 1/T c, where Tc is the deconfining temperature. We find that the mass of the ground-state string, at all length scales, is not very far from the simple Nambu-Goto string theory prediction, and that the fit improves as N increases from N = 4 to N = 6. We estimate the mass of the first excited string and find that it also follows the Nambu-Goto prediction, albeit more qualitatively. We comment upon the significance of these results for the string description of SU(N) gauge theories in the limit N = ∞. © SISSA/ISAS 2005. |
| spellingShingle | Meyer, H Teper, M Confinement and the effective string theory in SU (N -> infinity): a lattice study |
| title | Confinement and the effective string theory in SU (N -> infinity): a lattice study |
| title_full | Confinement and the effective string theory in SU (N -> infinity): a lattice study |
| title_fullStr | Confinement and the effective string theory in SU (N -> infinity): a lattice study |
| title_full_unstemmed | Confinement and the effective string theory in SU (N -> infinity): a lattice study |
| title_short | Confinement and the effective string theory in SU (N -> infinity): a lattice study |
| title_sort | confinement and the effective string theory in su n gt infinity a lattice study |
| work_keys_str_mv | AT meyerh confinementandtheeffectivestringtheoryinsungtinfinityalatticestudy AT teperm confinementandtheeffectivestringtheoryinsungtinfinityalatticestudy |