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Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with boundary

Khaled Saaidi
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Abstract

The non-local generalized two dimensional Yang Mills theories on an arbitrary orientable and non-orientable surfaces with boundaries is studied. We obtain the effective action of these theories for the case which the gauge group is near the identity, $U\simeq I$. Furthermore, by obtaining the effective action at the large-N limit, it is shown that the phase structure of these theories is the same as that obtain for these theories on orientable and non-orientable surface without boundaries. It is seen that the $ϕ^2$ model of these theories on an arbitrary orientable and non-orientable surfaces with boundaries have third order phase transition only on $g=0$ and $r=1$ surfaces, with modified area $\tilde{A}+{\cal A}/2$ for orientable and $\bar{A}+\mathcal{A}$ for non-orientable surfaces respectivly.

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Khaled Saaidi. 2005-04-20. Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with boundary. https://doi.org/10.1088/0031-8949%2F78%2F01%2F015102

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