Fermionic observables in the transverse Ising chain

Abstract

We introduce a notion of s-holomorphicity suitable for certain quantum spin systems in one dimension, and define two observables in the critical transverse-field Ising model which have this property. The observables are defined using graphical representations in the complex plane, and are analogous to Smirnov's FK-Ising and spin-Ising observables, respectively. We also briefly discuss scaling-limits of these observables.

32 pages

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• The Interface of the FK-representation of the Quantum Ising Model Converges to the $SL{E}_{16/3}$

Cited by in corpus (1)

• The Interface of the FK-representation of the Quantum Ising Model Converges to the $SL{E}_{16/3}$