After review the 2D Yang--Mills theories (YM$_2$) and its large--$N$ behaviour, the Generalized 2D Yang--Mills theories (gYM$_2$) and their partition functions on a general two--dimensional Riemann surface are discussed.The large--$N$ behaviour of these models is studied in weak regime, and in strong regime, we restrict ourselves to $\phi^4$ gYM$_2$. We show that this model has a third order phase transition, similar to ordinary YM$_2$ theory.
ALIMOHAMMADI, MASOUD (2000) "Generalized 2D Yang-Mills theories: Large-N limit and Phase Structure," Turkish Journal of Physics: Vol. 24: No. 3, Article 3. Available at: https://journals.tubitak.gov.tr/physics/vol24/iss3/3