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It is found that the exa t beta-fun tion (g) of the ontinuous 2D g 4 model possesses two types of dual symmetries, these being the Kramers{Wannier (KW) duality symmetry and the weakstrongoupling symmetry f(g) (or S-duality). All these transformations are expli itly onstru ted. The S-duality transformation f(g) is shown to onne t domains of weak and strong ouplings, i.e., above and below g . Basi ally, it means that there is a tempting possibility to ompute multiloop Feynman diagrams for the -fun tion using high-temperature latti e expansions. The regular s heme developed is found to be strongly unstable. Approximate values of the renormalized oupling onstant g + found from duality symmetry equations are in a good agreement with the available numeri al results.

Kramers–Wannier symmetry and strong-weak-coupling duality in 2D Φ4 field models

Kramers–Wannier symmetry and strong-weak-coupling duality in 2D Φ⁴ field models