Kramers-Wannier symmetry and strong-weak-coupling duality in the two-dimensional $Φ^{4}$ field model
| dc.creator | Shalaev, Boris N. | |
| dc.date | 2001-10-10 | |
| dc.date.accessioned | 2026-07-07T11:29:48Z | |
| dc.date.available | 2026-07-07T11:29:48Z | |
| dc.description | 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 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 $β$-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 good agreement with available numerical results. | |
| dc.description | 10 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0110205 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0110205 | |
| dc.identifier | J.Phys.Stud.5:240-245,2001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196831 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Kramers-Wannier symmetry and strong-weak-coupling duality in the two-dimensional $Φ^{4}$ field model | |
| dc.type | text |