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Particles and Fields

Eur. Phys. J. C 18, 613-618
DOI: 10.1007/s100520100479

Generating functional and large N limit of nonlocal 2D generalized Yang-Mills theories (nlgYM2's)

K. Saaidi and H.M. Sajadi

Department of Physics, University of Tehran, North Karegar St., Tehran, Iran


(Received: 24 June 2000 / Published online: 23 January 2001 - © Società Italiana di Fisica, Springer-Verlag 2001)

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 (nlgYM2'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 nlgYM2 theories at the strong coupling phase (SCP) regime ( A > Ac) for large groups. In the specific $\phi^4$ model, we show that the theory has a third order phase transition.

© Società Italiana di Fisica, Springer-Verlag 2001