No Cover Image

Conference Paper/Proceeding/Abstract 403 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...

Full description

Published: 2011
Online Access: http://inspirehep.net/record/944438
URI: https://cronfa.swan.ac.uk/Record/cronfa27918
Tags: Add Tag
No Tags, Be the first to tag this record!
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.
College: College of Science
Start Page: 267