Scaling behavior of the Bethe states for spin chains associated with the 6-vertex model
Sergei Lukyanov
Lundi 17/06/2019, 11:00-12:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

Going back to Kadanoff's block spin transformation, the concept of the Renormalization Group(RG) is usually illustrated by means of a finite statistical lattice system that provides a regularization of the Euclidean path integral. Within the Hamiltonian picture, attempts to introduce the size dependence for low energy stationary states of a finite lattice system meet immediate difficulties. However, for certain 1D spin chains, the problem is greatly facilitated by the presence of both conformal and integrable structures. Here we'll consider two examples of integrable critical spin chains related to the 6-vertex model: the spin 1/2 Heisenberg chain and the alternating spin chain. In the latter, the critical behavior is governed by a CFT possessing a continuous spectrum of scaling dimensions. Our considerations make use of the ODE/IQFT correspondence.

Contact : Vincent PASQUIER


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