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

  • M. Alimohammadi
  • A. Tofighi
Theoretical physics


We find a general expression for the free energy of \(G(\phi )=\phi^{2k}\) generalized two-dimensional (2D) Yang-Mills theory in the strong (\(A>A_c\)) 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 \(\phi^6\) model, we show that the theory has a third order phase transition, like the \(\phi^2\) (YM\(_2\)) and \(\phi^4\) models. We note problems for cases where \(k \geq 4\), and at the end, examine the phase structure of the \(\phi^2 + g \phi^4\) model for the \(g \leq{A/4}\) region.


General Expression Density Function Phase Transition Specific Model Free Energy 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • M. Alimohammadi
    • 1
  • A. Tofighi
    • 2
  1. 1. Department of Physics, University of Tehran, North-Kargar Ave., Tehran, Iran IR
  2. 2. Department of Physics, University of Mazandaran, Babolsar, Iran IR

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