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 lkhled@molavi.ut.ac.ir
sajadi@khayam.ut.ac.ir
(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