Conference Paper/Proceeding/Abstract 863 views
k-String tensions and their large-N dependence
J. Greensite,
A. Patella,
Biagio Lucini 
Volume: "LATTICE2011", Start page: 267
Swansea University Author:
Biagio Lucini
Abstract
We consider whether the 1/N corrections to k-string tensions must begin at order 1/N^2, as in the Sine Law, or whether odd powers of 1/N, as in Casimir Scaling, are also acceptable. The issue is important because different models of confinement differ in their predictions for the representation-depe...
| Published: |
2011
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| Online Access: |
http://inspirehep.net/record/944438 |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa27918 |
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| Abstract: |
We consider whether the 1/N corrections to k-string tensions must begin at order 1/N^2, as in the Sine Law, or whether odd powers of 1/N, as in Casimir Scaling, are also acceptable. The issue is important because different models of confinement differ in their predictions for the representation-dependence of k-string tensions, and corrections involving odd powers of 1/N would seem to be ruled out by the large-N expansion. We show, however, that k-string tensions may, in fact, have leading 1/N corrections, and consistency with the large-N expansion, in the open string sector, is achieved by an exact pairwise cancellation among terms involving odd powers of 1/N in particular combinations of Wilson loops. It is shown how these cancellations come about in a concrete example, namely, strong coupling lattice gauge theory with the heat-kernel action, in which k-string tensions follow the Casimir scaling rule. |
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| College: |
Faculty of Science and Engineering |
| Start Page: |
267 |