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EnglishWe use scale invariant scattering theory to exactly determine the lines of renormalization group fixed points invariant under the permutational symmetry S-q in two dimensions, and we show how one of these scattering solutions describes the ferromagnetic and square lattice antiferromagnetic critical lines of the q-state Potts model. Other solutions we determine should correspond to new critical lines. In particular, we obtain that a S-q-invariant fixed point can be found up to the maximal value q = (7 + root 17)/2. This is larger than the usually assumed maximal value 4 and leaves room for a second-order antiferromagnetic transition at q = 5.
Classifying Potts critical lines / Delfino, Gesualdo; Tartaglia, Elena. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 96:4(2017), pp. 1-8. [10.1103/PhysRevE.96.042137]
| Titolo: | Classifying Potts critical lines | |
| Autori: | Delfino, Gesualdo; Tartaglia, Elena | |
| Rivista: | ||
| Data di pubblicazione: | 2017 | |
| Volume: | 96 | |
| Fascicolo: | 4 | |
| Pagina iniziale: | 1 | |
| Pagina finale: | 8 | |
| Numero di Articolo: | 042137 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevE.96.042137 | |
| URL: | https://arxiv.org/abs/1707.00998 | |
| Appare nelle tipologie: | 1.1 Journal article |
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|---|---|---|---|---|
| DT_17_potts_pure.pdf | Versione Editoriale (PDF) | Non specificato | Administrator Richiedi una copia |
http://hdl.handle.net/20.500.11767/60483
