Quark potentials in the Higgs phase of large N supersymmetric Yang-Mills theories
Joseph A. Minahan; Nicholas P. Warner
Журнал:
Journal of High Energy Physics
Дата:
1998-06-01
Аннотация:
We compute, in the large N limit, the quark potential for N = 4 supersymmetric SU(N) Yang-Mills theory broken to SU(N<sub>1</sub>) × SU(N<sub>2</sub>). At short distances the quarks see only the unbroken gauge symmetry and have an attractive potential that falls off as 1/L. At longer distances the interquark interaction is sensitive to the symmetry breaking, and other QCD states appear. These states correspond to combinations of the quark-antiquark pair with some number of W-particles. If there is one or more W-particles then this state is unstable because of the Coulomb interaction between the W-particles and between the W's and the quarks. As L is decreased the W-particles delocalize and these Coulomb branches merge onto a branch with a linear potential. The quarks on this branch see the unbroken gauge group, but the flux tube is unstable to the production of W-particles.
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