High density effective theory on the lattice

Understand

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.