Mapping the phase diagram of strongly interacting matter

TL;DR

This paper introduces a conformal mapping technique to identify the critical point in the phase diagram of strongly interacting matter using data from zero chemical potential, aiding lattice gauge theory studies.

Contribution

The novel conformal mapping approach enables locating the critical point of phase transition from zero chemical potential data, advancing the analysis of hot and dense QCD matter.

Findings

Successfully identified the critical point using the conformal mapping method.

Demonstrated the technique on a chiral effective model.

Potentially applicable to lattice gauge theory computations.

Abstract

We employ a conformal mapping to explore the thermodynamics of strongly interacting matter at finite values of the baryon chemical potential $\mu$. This method allows us to identify the singularity corresponding to the critical point of a second-order phase transition at finite $\mu$, given information only at $\mu=0$. The scheme is potentially useful for computing thermodynamic properties of strongly interacting hot and dense matter in lattice gauge theory. The technique is illustrated by an application to a chiral effective model.