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Duality symmetry , strong coupling expansion and universal critical amplitudes in two-dimensional Φ 4 field models
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jug, Giancarlo |
| Copyright Year | 1999 |
| Abstract | We show that the exact beta-function β(g) in the continuous 2D gΦ4 model possesses the Kramers-Wannier duality symmetry. The duality symmetry transformation g̃ = d(g) such that β(d(g)) = d′(g)β(g) is constructed and the approximate values of g∗ computed from the duality equation d(g∗) = g∗ are shown to agree with the available numerical results. The calculation of the beta-function β(g) for the 2D scalar gΦ4 field theory based on the strong coupling expansion is developed and the expansion of β(g) in powers of g−1 is obtained up to order g−8. The numerical values calculated for the renormalized coupling constant g∗ + are in reasonable 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 gc of the 2D Ising model and the related universal critical amplitudes is also discussed. PACS numbers:05.50.+q, 03.70.+k, 64.60.-i, 75.10.Hk Typeset using REVTEX |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/cond-mat/9908068v1.pdf |
| Alternate Webpage(s) | https://ia800400.us.archive.org/18/items/arxiv-cond-mat9908068/cond-mat9908068.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
