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arxiv: 1705.02541 · v2 · pith:ZJEC3P2Inew · submitted 2017-05-07 · 🧮 math-ph · cond-mat.stat-mech· math.MP

Analyticity of the Ising susceptibility: An interpretation

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords isinganalyticityfieldmodelsusceptibilityanalyticcomputationsconsider
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We discuss the implications of studies of partition function zeros and equimodular curves for the analytic properties of the Ising model on a square lattice in a magnetic field. In particular we consider the dense set of singularities in the susceptibility of the Ising model at $H=0$ found by Nickel and its relation to the analyticity of the field theory computations of Fonseca and Zamolodchikov.

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