Dual Methods for Lattice Field Theories at Finite Density

TL;DR

This paper introduces a dual representation for lattice scalar field theories at finite density, enabling Monte Carlo simulations without the complex action problem and allowing analysis of 2-point functions at various chemical potentials.

Contribution

The paper develops a dual formulation that removes the complex action problem in finite density lattice field theories and introduces a method to study 2-point functions at non-zero chemical potential.

Findings

Monte Carlo simulations are feasible in the dual representation.

Physical results for lattice correlators at different chemical potentials are presented.

The approach enables analysis of finite density effects in scalar field theories.

Abstract

We present a dual representation of the partition function of the charged scalar field in which the complex action problem at non-zero chemical potential is absent. In this dual representation Monte Carlo simulations are possible and we show some physical results obtained with this approach. Furthermore we present a technique to study 2-point functions at finite density. Results for the lattice correlators at various chemical potentials are shown and discussed.