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

Khaled Saaidi
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Abstract

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 $ϕ^{2k}$ model of these theories have thired order phase transition only on projective plane (RP$^2$). Also the phase structure of $ϕ^2 + \fracγ{4}ϕ^4$ model of nlgYM$_2$ is studied and it is found that for $γ>0$, this model has third order phase transition only on RP$^2$ and for $γ<0$ it has third order phase transition on any closed non-orientable surfaces except RP$^2$ and Klein bottel.

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Khaled Saaidi. 2003-04-08. Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface. https://doi.org/10.1142/s0217751x04017707

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