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Generating functional and large N limit of nonlocal 2D generalized Yang–Mills theories (nlgYM\(_2\)'s)

  • K. Saaidi
  • H.M. Sajadi
Theoretical physics

Abstract.

Using the path integral method, we calculate the partition function and the generating functional (of the field strengths) on nonlocal generalized 2D Yang–Mills theories (nlgYM\(_2\)'s), which are nonlocal in the auxiliary field. This has been considered before by Saaidi and Khorrami. Our calculations are done for general surfaces. We find a general expression for the free energy of \(W(\phi) =\phi^{2k}\) in nlgYM\(_2\) theories at the strong coupling phase (SCP) regime (\(A > A_{\mathrm c}\)) for large groups. In the specific \(\phi^4\) model, we show that the theory has a third order phase transition.

Keywords

General Expression Field Strength Partition Function Phase Transition Strong Coupling 
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 2001

Authors and Affiliations

  • K. Saaidi
    • 1
  • H.M. Sajadi
    • 1
  1. 1.Department of Physics, University of Tehran, North Karegar St., Tehran, Iran IR

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