Title:
The strong-weak coupling symmetry in 2D Φ^{4} field models
Authors:
B.N.Shalaev
(A.F.Ioffe Physical & Technical Institute,
Russian Academy of Sciences, Polytechnicheskaya str. 26,
194021 St.Petersburg, Russia)
It is found that the exact beta-function β(g) of the continuous 2D gΦ^{4} model possesses two types of dual symmetries, these being the Kramers-Wannier (KW) duality symmetry and the strong-weak (SW) 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^{*}. Basically it means that there is a tempting possibility to compute multiloop Feynman diagrams for the β-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 an agreement with available numerical results.
Key words:
Kramers-Wannier duality,
S-duality, renormalization group, beta-function
PACS:
11.25.Hf, 74.20.-z,05.10.Cc
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