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Paper   IPM / Physic / 6912
School of Physics
  Title:   More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM2s)
1.  Kh. Saaidi
2.  M.R. Setare
  Status:   Published
  Journal: Int. J. Mod. Phys. A
  No.:  18
  Vol.:  17
  Year:  2002
  Pages:   3641-3648
  Supported by:  IPM
We study the phase structure of nonlocal two dimensional generalized Yang - Mills theories (nlgYM2) and it is shown that all order of ϕ2k model of these theories has phase transition only on compact manifold with g = 0(on sphere), and the order of phase transition is 3. Also it is shown that the ϕ2 + [(2α)/3]ϕ3 model of nlgYM2 has third order phase transition on any compact manifold with 1 < g < 1+ [(A)/(|ηc|)], and has no phase transition on sphere.

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