Large-N limit of the generalized 2D Yang-Mills theory on cylinder

Details Large-N limit of the generalized 2D Yang-Mills theory on cylinder Large-N limit of the generalized 2D Yang-Mills theory on cylinder

1999-10-28

arxiv.org/abs/hep-th/9910224v2

Nucl.Phys. B577 (2000) 609-618

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, add a paragraph after eq.(20) and add one reference, accepted for publication in: Nucl. Phys. B (2000)

Scientific paper

10.1016/S0550-3213(00)00111-5

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.

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