# Analyticity of the Ising susceptibility: An interpretation

## TL;DR

This paper explores the complex analytic structure of the Ising model's susceptibility, linking partition function zeros, singularities, and field theory predictions to deepen understanding of phase transition behaviors.

## Contribution

It provides a new interpretation of the dense singularities in the Ising susceptibility, connecting numerical findings with theoretical field computations.

## Key findings

- Identification of the dense set of susceptibility singularities at zero magnetic field.
- Relation established between partition function zeros and susceptibility analyticity.
- Insights into the implications of singularities for phase transition theory.

## 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.