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. SajadiDepartment of Physics, University of Tehran, North Karegar St., Tehran, Iran This email address is being protected from spambots. You need JavaScript enabled to view it.
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(Received: 24 June 2000 / Published online: 23 January 2001 - © Società Italiana di Fisica, Springer-Verlag 2001)
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 (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
in
nlgYM2 theories at the strong coupling phase (SCP) regime
(
A > Ac)
for large groups. In the specific 
model, we show that
the
theory has a third order phase transition.
© Società Italiana di Fisica, Springer-Verlag 2001
