Analyticity of the Ising susceptibility: An interpretation

M. Assis , J.L. Jacobsen (1, 2) , I. Jensen , J.M. Maillard (3) , B.M. Mccoy

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681
3 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

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.

Mots clés: Ising model; partition function zeros; transfer matrix eigenvalues; analytic properties; susceptibility; partition function; magnetic field; singularity; lattice; nickel

Domaines: Physique mathématique [math-ph]; Physique Générale [physics.gen-ph]

M. Assis, J.L. Jacobsen, I. Jensen, J.M. Maillard, B.M. Mccoy. Analyticity of the Ising susceptibility: An interpretation. J.Phys.A, 2017, 50 (36), pp.365203. ⟨10.1088/1751-8121/aa8128⟩. ⟨hal-01582459⟩