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

  • M. Alimohammadi
  • A. Tofighi
Theoretical physics

Abstract.

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.

Keywords

General Expression Density Function Phase Transition Specific Model Free Energy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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