Lattice simulation of the SU(2) chiral model at zero and non-zero pion density

TL;DR

This paper develops a flux-based lattice formulation of the SU(2) chiral model with chemical potential, enabling non-perturbative simulations to study its mass spectrum at varying pion densities.

Contribution

It introduces a novel flux representation for the SU(2) chiral model that facilitates efficient lattice simulations including chemical potential effects.

Findings

Non-perturbative mass spectrum obtained at different pion densities

Efficient measurement method for correlation functions during simulations

Validation of the flux representation approach

Abstract

We propose a flux representation based lattice formulation of the partition function corresponding to the SU(2) principal chiral Lagrangian, including a chemical potential and scalar/pseudo-scalar source terms. Lattice simulations are then used to obtain non-perturbative properties of the theory, in particular its mass spectrum at zero and non-zero pion density. We also sketch a method to efficiently measure general one- and two-point functions during the worm updates.