Large-N limit of the generalized 2-dimensional Yang-Mills theories

Details Large-N limit of the generalized 2-dimensional Yang-Mills theories Large-N limit of the generalized 2-dimensional Yang-Mills theories

1997-07-09

arxiv.org/abs/hep-th/9707081v2

Nucl.Phys. B510 (1998) 313-323

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, minor typos corrected, one reference updates

Scientific paper

10.1016/S0550-3213(97)00698-6

Using the standard saddle-point method, we find an explicit relation for the large-N limit of the free energy of an arbitrary generalized 2D Yang-Mills theory in the weak ($AA_c$) region, we investigate carefully the specific fourth Casimir theory, and show that the ordinary integral equation of the density function is not adequate to find the solution. There exist, however, another equation which restricts the parameters. So one can find the free energy in strong region and show that the theory has a third order phase transition.

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