New results using the canonical approach to finite density QCD

TL;DR

This paper advances finite density QCD simulations using a canonical approach by optimizing the action approximation, validating reweighting methods, and exploring larger densities to identify phase transition signals.

Contribution

It introduces improved techniques for finite density QCD simulations, including error reduction and cost optimization, enabling exploration of higher densities.

Findings

Errors from action approximation can be effectively controlled.

Reweighting method is reliable for baryon number fluctuations.

Signals of phase transition observed at larger densities.

Abstract

We present some new results regarding simulations of finite density QCD based on a canonical approach. A previous study has shown that such simulations are feasible, at least on small lattices. In the current study, we investigate some of the issues left open: we study the errors introduced by our approximation of the action and we show how to tune it to reduce the cost of the simulations while keeping the errors under control. To further reduce the cost of the simulations, we check the reliability of reweighting method with respect to the baryon number. Finally, using these optimizations, we carry out the simulations at larger densities than in our previous study to look for signals of a phase transition.