The k=2 string tension in four dimensional SU(N) gauge theories

Details The k=2 string tension in four dimensional SU(N) gauge theories The k=2 string tension in four dimensional SU(N) gauge theories

2000-12-21

arxiv.org/abs/hep-lat/0012025v1

Phys.Lett. B501 (2001) 128-133

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages

Scientific paper

10.1016/S0370-2693(01)00097-1

We calculate the k=2 string tensions in SU(4) and SU(5) gauge theories in 3+1 dimensions, and compare them to the k=1 fundamental string tensions. We find, from the continuum extrapolation of our lattice calculations, that K(k=2)/K(k=1) = 1.40(8) in the SU(4) gauge theory, and that K(k=2)/K(k=1) = 1.56(10) in SU(5). We remark upon the way this might constrain the dynamics of confinement and the intriguing implications it might have for the mass spectrum of SU(N) gauge theories. We also note that these results agree closely with the MQCD-inspired conjecture that the SU(N) string tensions satisfy K(k)/K(1) = sin(k.pi/N)/sin(pi/N).

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