# Search of QCD phase transition points in the canonical approach of the NJL model

## TL;DR

This paper investigates the use of Lee-Yang zeros in the canonical approach within the NJL model to accurately identify QCD phase transition points at finite temperature and density, proposing a method applicable to lattice QCD.

## Contribution

It introduces a novel extrapolation technique of Lee-Yang zeros in the canonical approach to determine phase transition points in the NJL model, relevant for lattice QCD.

## Key findings

- Finite degrees of freedom zeros can be extrapolated to infinite degrees, locating phase transitions.
- The method effectively identifies phase transition points in the NJL model.
- Proposes a practical approach for lattice QCD simulations at finite density.

## Abstract

We study the Lee-Yang zeros in the canonical approach to search phase transition points at finite temperature and density in the Nambu-Jona-Lasinio (NJL) model as an effective model of QCD. The canonical approach is a promising method to avoid the sign problem in lattice QCD at finite density. We find that a set of Lee-Yang zeros computed with finite degrees of freedom can be extrapolated to those with infinite degrees of freedom, providing the correct phase transition point. We propose the present method as a useful method for actual lattice simulations for QCD.