Non-Abelian string breaking phenomena with Matrix Product States

TL;DR

This paper employs matrix product states to numerically investigate string breaking phenomena in 1+1 dimensional SU(2) non-Abelian gauge theory, capturing static potentials and real-time dynamics of fermions.

Contribution

It introduces a novel application of matrix product states to study non-Abelian string breaking, including real-time fermion dynamics, beyond traditional Monte Carlo methods.

Findings

Detection of flux string breaking using new observables

Simulation of real-time fermion dynamics in non-Abelian gauge theory

Characterization of string breaking phenomena in 1+1D SU(2)

Abstract

Using matrix product states, we explore numerically the phenomenology of string breaking in a non-Abelian lattice gauge theory, namely 1+1 dimensional SU(2). The technique allows us to study the static potential between external heavy charges, as traditionally explored by Monte Carlo simulations, but also to simulate the real-time dynamics of both static and dynamical fermions, as the latter are fully included in the formalism. We propose a number of observables that are sensitive to the presence or breaking of the flux string, and use them to detect and characterize the phenomenon in each of these setups.