Geometric representation of the 2D Antiferromagnetic Ising Model with topological term at \theta=\pi

Abstract

We study the two-dimensional Antiferromagnetic Ising Model with an imaginary magnetic field i\theta at \theta=\pi. We use a new geometric algorithm which does not present a sign problem. This allows us to perform efficient numerical simulations of this system.

Comments: 7 pages, 3 figures, submitted as a contribution to the 30th International Symposium on Lattice Field Theory, June 24-29, 2012, Cairns, Australia