Classical integrability of chiral $QCD_{2}$ and classical curves
High Energy Physics - Theory
2009-10-30 v2
Abstract
In this letter, classical chiral is studied in the lightcone gauge . 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.
Cite
@article{arxiv.hep-th/9701138,
title = {Classical integrability of chiral $QCD_{2}$ and classical curves},
author = {Robert de Mello Koch and João P. Rodrigues},
journal= {arXiv preprint arXiv:hep-th/9701138},
year = {2009}
}
Comments
Final version to appear in Mod. Phys. Lett. A. A reference and two footnotes added. 6 pages revtex