Common features of deconfining and chiral critical points in QCD and the three state Potts model in an external field

TL;DR

This study explores the critical points in QCD and the three-state Potts model, revealing they share universal features and belong to the 3D Ising universality class, using Binder cumulants and scaling fields.

Contribution

It identifies the universality class of the critical endpoints in QCD and the Potts model, demonstrating their common features and providing a detailed analysis of their scaling behavior.

Findings

Critical endpoints belong to the 3D Ising universality class

Binder cumulants confirm universality class

Energy-like and ordering field observables are constructed

Abstract

In the presented study we investigated the second order endpoints of the lines of first order phase transitions which emerge for the QCD in the heavy and light quark mass regime and for the three-dimensional three state Potts model with an external field. We located the endpoints with Binder cumulants and constructed the energy-like and ordering field like observables. The joint probability distributions of these scaling fields and the values of the Binder cumulant confirm that all three endpoints belong to the universality class of the 3-dimensional Ising model.