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Fermionic observables in the transverse Ising chain (1607.06484v2)
Published 21 Jul 2016 in math-ph, math.MP, and math.PR
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.
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