Holomorphic spinor observables in the critical Ising model. (English) Zbl 1277.82010

Chelkak, Dmitry; Izyurov, Konstantin

Commun. Math. Phys. 322, No. 2, 303-332 (2013).

A problem of importance about the Ising model is the rigorous proof of the conformal covariance of spin correlations in the scaling limit. In the present paper one introduces the concept of spinor holomorphic observables to deal with this question, and one proves the convergence of ratios of spin correlations corresponding to various boundary conditions to conformally invariant limits.

Reviewer: Guy Jumarie (Montréal)

MSC:

82B20

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics

Keywords:

Ising model; conformal covariances

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