Large-N limit of the generalized 2D Yang-Mills theory on cylinder
High Energy Physics - Theory
2009-10-31 v2
Abstract
Using the collective field theory approach of large-N generalized two-dimensional Yang-Mills theory on cylinder, it is shown that the classical equation of motion of collective field is a generalized Hopf equation. Then, using the Itzykson-Zuber integral at the large-N limit, it is found that the classical Young tableau density, which satisfies the saddle-point equation and determines the large-N limit of free energy, is the inverse of the solution of this generalized Hopf equation, at a certain point.
Keywords
Cite
@article{arxiv.hep-th/9910224,
title = {Large-N limit of the generalized 2D Yang-Mills theory on cylinder},
author = {M. Khorrami and M. Alimohammadi},
journal= {arXiv preprint arXiv:hep-th/9910224},
year = {2009}
}
Comments
11 pages, add a paragraph after eq.(20) and add one reference, accepted for publication in: Nucl. Phys. B (2000)