Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface

Details Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface

2003-04-08

arxiv.org/abs/hep-th/0304068v1

Int.J.Mod.Phys. A19 (2004) 2123-2130

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, Latex. to be appear in IJMPA

Scientific paper

10.1142/S0217751X04017707

The large-group behavior of the non-local two dimensional generalized Yang-Mills theories (nlgYM$_2$'s) on arbitrary closed non-orientable surfaces is investigated. It is shown that all order of $\phi^{2k}$ model of these theories have thired order phase transition only on projective plane (RP$^2$). Also the phase structure of $\phi^2 + \frac{\gamma}{4}\phi^4$ model of nlgYM$_2$ is studied and it is found that for $\gamma >0$, this model has third order phase transition only on RP$^2$ and for $\gamma<0$ it has third order phase transition on any closed non-orientable surfaces except RP$^2$ and Klein bottel.

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