Phase structure of the generalized two-dimensional Yang-Mills theory on sphere

被引:0
作者
Alimohammadi M. [1 ]
Tofighi A. [2 ,3 ]
机构
[1] Department of Physics, University of Tehran, North-Kargar Ave, Tehran
[2] Department of Physics, University of Mazandaran, Babolsar
[3] st. Studs. in Theor. Phys. and Math., P.O. Box 19395-5746, Tehran
关键词
General Expression; Density Function; Phase Transition; Specific Model; Free Energy;
D O I
10.1007/s100529900009
中图分类号
学科分类号
摘要
We find a general expression for the free energy of G(ø) = ø2k 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 ø6 model, we show that the theory has a third order phase transition, like theø2 (YM2) and ø4 models. We note problems for cases where k ≥ 4, and at the end, examine the phase structure of the ø2 + gø4 model for the g ≤ A/4 region.
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页码:711 / 717
页数:6
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