On Yang-Mills Matrix Models: Emergent Geometry

Abstract

One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. We present Monte Carlo simulations, for a simple three matrix model that exhibits an exotic phase transition. we focus on determined the phase structure of the Bosonic d = 3 Yang-Mills Matrix Models, study both theoretically and numerically a three matrix model. The model has a phase transition with two phase, one matrix phase and other geometrical (Fuzzy sphere)