The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter

TL;DR

This paper proposes a method to detect the critical endpoint of QCD phase transitions using lattice simulations with a chiral chemical potential, enabling phase mapping in a modified theoretical framework.

Contribution

It introduces a novel approach to identify the QCD critical endpoint via lattice simulations with chiral chemical potential, supported by concrete chiral model calculations.

Findings

Critical endpoint can be mapped in the temperature-chiral chemical potential plane.

Lattice simulations with $$ can reveal phase structure of QCD.

The approach offers a new way to study QCD phases at finite chemical potential.

Abstract

We suggest the idea, supported by concrete calculations within chiral models, that the critical endpoint of the phase diagram of Quantum Chromodynamics with three colors can be detected, by means of Lattice simulations of grand-canonical ensembles with a chiral chemical potential, $\mu_5$, conjugated to chiral charge density. In fact, we show that a continuation of the critical endpoint of the phase diagram of Quantum Chromodynamics at finite chemical potential, $\mu$, to a critical end point in the temperature-chiral chemical potential plane, is possible. This study paves the way of the mapping of the phases of Quantum Chromodynamics at finite $\mu$, by means of the phases of a fictitious theory in which $\mu$ is replaced by $\mu_5$.