The strong-weak coupling symmetry in 2D Φ⁴ field models

It is found that the exact beta-function β(g) of the continuous 2D gΦ⁴ model possesses two types of dual symmetries, these being the KramersWannier (KW) duality symmetry and the strong-weak (SW) coupling symmetry f(g), or S-duality. All these transformations are explicitly constructed. The S-dua...

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Datum:2005
1. Verfasser: Shalaev, B.N.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут фізики конденсованих систем НАН України 2005
Schriftenreihe:Condensed Matter Physics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/119486
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:The strong-weak coupling symmetry in 2D Φ⁴ field models / B.N. Shalaev // Condensed Matter Physics. — 2005. — Т. 8, № 1(41). — С. 113–122. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:It is found that the exact beta-function β(g) of the continuous 2D gΦ⁴ model possesses two types of dual symmetries, these being the KramersWannier (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.