Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating Functional and Large N-Limit of Nonlocal 2D Generalized
  Yang-Mills Theories ($nlgYM_2$'s)   Using the path integral method, we calculate the partition function and
generating functional (of the field strengths) on the nonlocal generalized 2D
Yang - Mills theories ($nlgYM_2$'s), which is nonlocal in auxiliary field [14].
Our calculations is done for general surfaces. We find a general expression for
free energy of $W(\phi) = \phi^{2k}$ in $nlgYM_2$ theories at the strong
coupling phase (SCP) regime ($A > A_c$) for large groups. In the specific
$\phi^4$ model, we show that the theory has a third order phase transition.

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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph