k-string tensions in SU(N) gauge theories

Details k-string tensions in SU(N) gauge theories k-string tensions in SU(N) gauge theories

2001-06-20

arxiv.org/abs/hep-th/0106185v3

Phys.Rev. D65 (2002) 021501

Physics

High Energy Physics

High Energy Physics - Theory

version accepted for publication in Phys Rev D (Rap Comm)

Scientific paper

10.1103/PhysRevD.65.021501

In the context of four-dimensional SU(N) gauge theories, we study the spectrum of the confining strings. We compute, for the SU(6) gauge theory formulated on a lattice, the three independent string tensions sigma_k related to sources with Z_N charge k=1,2,3, using Monte Carlo simulations. Our results, whose uncertainty is approximately 2% for k=2 and 4% for k=3, are consistent with the sine formula sigma_k/sigma = sin(k pi/N) / \sin(pi/N) for the ratio between sigma_k and the standard string tension sigma, and show deviations from the Casimir scaling. The sine formula is known to emerge in supersymmetric SU(N) gauge theories and in M-theory. We comment on an analogous behavior exhibited by two-dimensional SU(N)xSU(N) chiral models.

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