Quark Potentials in the Higgs Phase of Large N Supersymmetric Yang-Mills Theories
Minahan, J. A. · Warner, N. P.
Original · EN
We compute, in the large N limit, the quark potential for N=4 supersymmetric SU(N) Yang-Mills theory broken to SU(N₁) × SU(N₂). 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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