More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM$_2$'s)

Details More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM$_2$'s) More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM$_2$'s)

2002-02-25

arxiv.org/abs/hep-th/0202170v1

Int.J.Mod.Phys. A17 (2002) 3641-3648

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures

Scientific paper

10.1142/S0217751X02011345

We study the phase structure of nonlocal two dimensional generalized Yang - Mills theories (nlgYM$_2$) and it is shown that all order of $\phi^{2k}$ model of these theories has phase transition only on compact manifold with $g = 0$(on sphere), and the order of phase transition is 3. Also it is shown that the $\phi^2 + \frac{2\alpha}{3}\phi^3$ model of nlgYM$_2$ has third order phase transition on any compact manifold with $1 < g < 1+ \frac{\hat{A}}{|\eta_c|}$, and has no phase transition on sphere.

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