Phase structure of the generalized two-dimensional Yang-Mills theory on sphere
1 Department of Physics, University of Tehran,
2 Department of Physics, University of Mazandaran, Babolsar, Iran
3 Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran
Received: 30 September 1998 / Revised version: 13 December 1998 / Published online: 15 April 1999
We find a general expression for the free energy of generalized two-dimensional (2D) Yang-Mills theory in the strong (A>Ac) region for large N. We also show that in this region, the density function of Young tableau of these models is a three-cut problem. In the specific model, we show that the theory has a third order phase transition, like the (YM2) and models. We note problems for cases where , and at the end, examine the phase structure of the model for the region.