Classical integrability of chiral $QCD_{2}$ and classical curves

Details Classical integrability of chiral $QCD_{2}$ and classical curves Classical integrability of chiral $QCD_{2}$ and classical curves

1997-01-25

arxiv.org/abs/hep-th/9701138v2

Mod.Phys.Lett. A12 (1997) 2445-2454

Physics

High Energy Physics

High Energy Physics - Theory

Final version to appear in Mod. Phys. Lett. A. A reference and two footnotes added. 6 pages revtex

Scientific paper

10.1142/S0217732397002557

In this letter, classical chiral $QCD_{2}$ is studied in the lightcone gauge $A_{-}=0$. The once integrated equation of motion for the current is shown to be of the Lax form, which demonstrates an infinite number of conserved quantities. Specializing to gauge group SU(2), we show that solutions to the classical equations of motion can be identified with a very large class of curves. We demonstrate this correspondence explicitly for two solutions. The classical fermionic fields associated with these currents are then obtained.

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