Condensed Matter Theory CMT@Brixen (2023)

Photo taken during Prof. Silvi’s talk at CMT@BRIXEN, The Meeting of the Condensed Matter Theory Italian Community.

(2+1)D SU(2) YANG-MILLS LATTICE GAUGE THEORY AT FINITE DENSITY VIA TENSOR NETWORKS

Abstract

We demonstrate the feasibility of Tensor Network simulations of non-Abelian lattice gauge theories in two spatial dimensions. In particular, we focus on a SU(2) Yang-Mills model in the Hamiltonian formulation, including dynamical matter. Our sign-problem-free approach allows for characterizing the phase diagram of the model at zero and finite charge densities, as a function of the bare mass and the coupling constant g. We observe a transition, driven by g, from a phase with dominant electric fluctuations to a phase with dominant magnetic fluctuations. For the smallest nontrivial representation of the gauge field, at low values of the bare mass the deconfined regime is replaced by a superconducting phase of colorless mesons. In this representation, our simulations suggest that topological order does not survive within this phase, but it still may appear at the critical point.