We 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]

Classifying Potts critical lines

Delfino, Gesualdo;
2017

Abstract

We 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.
96
4
1
8
042137
https://arxiv.org/abs/1707.00998
Delfino, Gesualdo; Tartaglia, Elena
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/60483
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