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

K. Saaidi; H.M. Sajadi

doi:doi:10.1007/s100520100479

EPJ

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2018 Impact factor 4.843

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

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

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 $W(\phi) = \phi^{2k}$ in nlgYM₂ theories at the strong coupling phase (SCP) regime ( A > A_c) for large groups. In the specific $\phi^4$ model, we show that the theory has a third order phase transition.

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Joint Annual Meeting of the Swiss and Austrian Physical Societies
26-30 August 2019
Zurich, Switzerland

SIF Congresso
23-27 September 2019
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EPJ

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

Conference announcements

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