$2D$ and $3D$ Antiferromagnetic Ising Model with topological term at $\theta =\pi$

Abstract

We study the two and three-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, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany