Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories
  (nlgYM$_2$'s)   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.

33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin