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arXiv · hep-th/0011050

Generating Functional and Large N-Limit of Nonlocal 2D Generalized Yang-Mills Theories ($nlgYM_2$'s)

Kh. Saaidi·H. M. Sadjadi
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Abstract

Using the path integral method, we calculate the partition function and generating functional (of the field strengths) on the nonlocal generalized 2D Yang - Mills theories ($nlgYM_2$'s), which is nonlocal in auxiliary field [14]. Our calculations is done for general surfaces. We find a general expression for free energy of $W(ϕ) = ϕ^{2k}$ in $nlgYM_2$ theories at the strong coupling phase (SCP) regime ($A > A_c$) for large groups. In the specific $ϕ^4$ model, we show that the theory has a third order phase transition.

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Kh. Saaidi, H. M. Sadjadi. 2000-11-08. Generating Functional and Large N-Limit of Nonlocal 2D Generalized Yang-Mills Theories ($nlgYM_2$'s). https://doi.org/10.1007/s100520100479

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