| Автор | Giancarlo Jug |
| Автор | Boris N Shalaev |
| Дата выпуска | 1999-10-22 |
| dc.description | We show that the exact beta-function (g) in the continuous two-dimensional g<sup>4</sup> model possesses the Kramers-Wannier duality symmetry. The duality symmetry transformation = d(g) such that (d(g)) = d´(g)(g) is constructed and the approximate values of g<sup>*</sup> computed from the duality equation d(g<sup>*</sup>) = g<sup>*</sup> are shown to agree with the available numerical results. The calculation of the beta-function (g) for the 2D scalar g<sup>4</sup> field theory based on the strong-coupling expansion is developed and the expansion of (g) in powers of g<sup>-1</sup> is obtained up to order g<sup>-8</sup>. The numerical values calculated for the renormalized coupling constant g<sub>+</sub><sup>*</sup> are in reasonably good agreement with the best modern estimates recently obtained from the high-temperature series expansion and with those known from the perturbative four-loop renormalization-group calculations. The application of Cardy's theorem for calculating the renormalized isothermal coupling constant g<sub>c</sub> of the 2D Ising model and the related universal critical amplitudes is also discussed. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Duality symmetry, strong-coupling expansion and universal critical amplitudes in two-dimensional <sup>4</sup> field models |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/42/302 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 7249 |
| Последняя страница | 7261 |
| Аффилиация | Giancarlo Jug; Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany |
| Аффилиация | Boris N Shalaev; Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany |
| Выпуск | 42 |
