Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-08-25
PoSLAT2007:291,2007
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 8 figures, Presented by BB at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regen
Scientific paper
We calculate energies and tensions of closed k-strings in (2+1)-dimensional SU(N) gauge theories with N=4,5,6,8. When we study the dependence of the ground state energy on the string length, we find that it is well described by a Nambu-Goto (NG) free bosonic string for large lengths. At shorter lengths we see deviations which we fit, and this allows us to control the systematic error involved in extracting the tension. We compare the resulting string tensions with Casimir scaling, which we find to be lower than our data by 1%-4%. Extrapolating our results to N=oo we see that our data fits more naturally to 1/N rather than 1/N^2 corrections. Finally, we see that the full spectrum of the k-string states falls into sectors that belong to particular irreducible representations of SU(N).
Bringoltz Barak
Teper Michael
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