Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Behavior of the \Beta Function in the \Phi^4 Theory: A Scheme
  Without Complex Parameters   The previously obtained analytical asymptotic expressions for the Gell-Mann -
Low function \beta(g) and anomalous dimensions of \phi^4 theory in the limit
g\to\infty are based on the parametric representation of the form g = f(t),
\beta(g) = f1(t) (where t\sim g_0^{-1/2} is the running parameter related to
the bare charge g_0), which is simplified in the complex t plane near a zero of
one of the functional integrals. In the present paper, it is shown that the
parametric representation has a singularity at t\to 0; for this reason, similar
results can be obtained for real values of g_0. The problem of the correct
transition to the strong coupling regime is simultaneously solved; in
particular, the constancy of the bare or renormalized mass is not a correct
condition of this transition. A partial proof is given for the theorem of the
renormalizability in the strong coupling region.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics