The k = 2 string tension in four dimensional SU(N) gauge theories
Dec, 200010 pages
Published in:
- Phys.Lett.B 501 (2001) 128-133
e-Print:
- hep-lat/0012025 [hep-lat]
Report number:
- OUTP-00-56P
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Abstract:
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).Note:
- 10 pages Report-no: Oxford preprint OUTP-00-56P
- gauge field theory: SU(4)
- gauge field theory: SU(5)
- lattice field theory
- string tension
- confinement
- mass spectrum
- numerical calculations: Monte Carlo
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