Generating Functional and Large N-Limit of Nonlocal 2D Generalized Yang-Mills Theories ($nlgY{M}_2$'s)

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 ($nlgY{M}_2$'s), which is nonlocal in auxiliary field [14]. Our calculations is done for general surfaces. We find a general expression for free energy of $W(\varphi )={\varphi }^{2k}$ in $nlgY{M}_2$ theories at the strong coupling phase (SCP) regime ($A>A_c$) for large groups. In the specific ${\varphi }^4$ model, we show that the theory has a third order phase transition.

tex file, no figure. accepted for publication in Eur. Phys. J. C. (2000)

Cited by in corpus (3)

• More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM${}_2$'s)
• Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with boundary
• Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface