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

Abstract

We study the phase structure of nonlocal two dimensional generalized Yang - Mills theories (nlgYM${}_2$) and it is shown that all order of ${\varphi }^{2k}$ 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 ${\varphi }^2+\frac{2\alpha }{3}{\varphi }^3$ 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.

11 pages, no figures

References in corpus (4)

• Phase structure of the generalized two dimensional Yang-Mills theories on sphere
• On the phase structure of two--dimensional generalized Yang--Mills theories
• Nonlocal two-dimensional Yang-Mills- and generalized Yang-Mills-theories
• Generating Functional and Large N-Limit of Nonlocal 2D Generalized Yang-Mills Theories ($nlgY{M}_2$'s)

Cited by in corpus (4)

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• Large-N limit of the two-dimensinal Non-Local Yang-Mills theory on arbitrary surfaces with boundary
• 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