Confinement and the effective string theory in SU(N->oo) : a lattice study
| dc.creator | Meyer, Harvey | |
| dc.creator | Teper, Michael | |
| dc.date | 2004-11-30 | |
| dc.date.accessioned | 2026-07-07T10:48:26Z | |
| dc.date.available | 2026-07-07T10:48:26Z | |
| dc.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/Tc, 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 of infinite N. | |
| dc.description | 21 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0411039 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0411039 | |
| dc.identifier | JHEP0412:031,2004 | |
| dc.identifier | doi:10.1088/1126-6708/2004/12/031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183878 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Confinement and the effective string theory in SU(N->oo) : a lattice study | |
| dc.type | text |