Journal article
Analyticity of the Ising susceptibility: An interpretation
M Assis, JL Jacobsen, I Jensen, JM Maillard, BM McCoy
Journal of Physics A Mathematical and Theoretical | IOP PUBLISHING LTD | Published : 2017
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.
Grants
Awarded by National Cancer Institute
Funding Acknowledgements
We are pleased to thank for their hospitality, the organizers of the conference 'Exactly solved models and beyond' held at Palm Cove, Australia July 19-25, 2015 in honor of the 75th birthday of Prof. Rodney Baxter where much of this material was first presented. One of us (JLJ) was supported by the Agence Nationale de la Recherche (grant ANR-10-BLAN-0414), the Institut Univeritaire de France, and the European Research Council (advanced grant NuQFT). Two of us (MA and IJ) were supported by funding under the Australian Research Council's Discovery Projects scheme by the grant DP140101110. The work of IJ was also supported by an award under the Merit Allocation Scheme of the NCI National Facility.