Analyticity of the Ising susceptibility: An interpretation

Abstract

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.

21 pages, 13 figures

References in corpus (3)

• Density of Yang-Lee zeros for the Ising ferromagnet
• Scaling and universality in the 2D Ising model with a magnetic field
• Variational approach to the scaling function of the 2D Ising model in a magnetic field

Cited by in corpus (1)

• Low-temperature series expansion of square lattice Ising model: A study based on Fisher zeros