Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kramers-Wannier symmetry and strong-weak-coupling duality in the
  two-dimensional $\Phi^{4}$ field model   It is found that the exact beta-function $\beta(g)$ of the continuous 2D
$g\Phi^{4}$ model possesses two types of dual symmetries, these being the
Kramers-Wannier (KW) duality symmetry and the weak-strong-coupling symmetry
$f(g)$, or S-duality. All these transformations are explicitly constructed. The
$S$-duality transformation $f(g)$ is shown to connect domains of weak and
strong couplings, i.e. above and below $g^{*}$ with $g^{*}$ being a fixed
point. Basically it means that there is a tempting possibility to compute
multiloop Feynman diagrams for the $\beta$-function using high-temperature
lattice expansions. The regular scheme developed is found to be strongly
unstable. Approximate values of the renormalized coupling constant $g^{*}$
found from duality symmetry equations are in good agreement with available
numerical results.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys