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

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.

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

References in corpus (2)

• Large-N limit of the generalized 2-dimensional Yang-Mills theories
• Phase structure of the generalized two dimensional Yang-Mills theories on sphere

Cited by in corpus (2)

• Large-N limit of the two-dimensoinal Yang-Mills theory on surfaces with boundaries
• Large-N limit of the two-dimensinal Non-Local Yang-Mills theory on arbitrary surfaces with boundary