A simple idea for Lattice QCD at finite density

TL;DR

This paper explores adding a naive chemical potential term to lattice QCD to simplify calculations of susceptibilities, addressing potential issues and testing its effectiveness.

Contribution

It proposes a simple modification to lattice QCD at finite density and investigates its viability for calculating higher order susceptibilities.

Findings

Reduces computational effort for higher order susceptibilities

Identifies potential problems with the naive approach

Proposes a possible solution to these problems

Abstract

We pursue the idea of adding the naive $\mu N$ term, where $\mu$ is the quark chemical potential and $N$ is the conserved quark number, to the lattice QCD action. While computations of higher order susceptibilities, required for estimating the location of the QCD critical point, need a lot fewer number of quark propagators at any order as a result, it has its problem. We discuss a solution, and examine if it works.