High density effective theory on the lattice

TL;DR

This paper explores implementing high density effective theory on the lattice to study finite density QCD, addressing the sign problem and enabling analysis of the QCD phase diagram at high chemical potential.

Contribution

It introduces a lattice implementation of high density effective theory combined with re-weighting techniques to study dense QCD.

Findings

Potential to study high density QCD without sign problem

Framework for lattice simulations at large chemical potential

Addresses limitations of current Monte Carlo methods

Abstract

Long-range interactions in finite density QCD necessitate a non-perturbative approach in order to reliably map out the key features and spectrum of the QCD phase diagram. However, the complex nature of the fermion determinant in this sector prohibits the use of established Monte Carlo techniques that utilize importance sampling. Whilst significant progress has been made in the low density, high temperature region, this remains a considerable challenge at mid to high density. At large chemical potential, QCD can be approximated using high density effective theory which is free from the sign problem at leading order. We investigate the implementation of this theory on the lattice in conjunction with existing re-weighting techniques.