A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions

Details A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions A precise calculation of the fundamental string tension in SU(N) gauge theories in 2+1 dimensions

2006-11-27

arxiv.org/abs/hep-th/0611286v1

Phys.Lett.B645:383-388,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures

Scientific paper

10.1016/j.physletb.2006.12.056

We use lattice techniques to calculate the continuum string tensions of SU(N) gauge theories in 2+1 dimensions. We attempt to control all systematic errors at a level that allows us to perform a precise test of the analytic prediction of Karabali, Kim and Nair. We find that their prediction is within 3% of our values for all N and that the discrepancy decreases with increasing N. When we extrapolate our results to N=oo we find that there remains a discrepancy of ~ 1%, which is a convincing ~6 sigma effect. Thus, while the Karabali-Nair analysis is remarkably accurate at N=oo, it is not exact.

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