Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field

TL;DR

This paper investigates how strong magnetic fields influence the relationship between chiral symmetry breaking and deconfinement transitions in quark matter using a nonlocal PNJL model, finding that these transitions remain coincident under strong magnetic fields.

Contribution

It demonstrates that in a nonlocal PNJL model, the chiral and deconfinement transitions stay coincident even with strong magnetic fields, supporting the model's reliability against lattice QCD data.

Findings

Chiral and deconfinement transitions are coincident under strong magnetic fields.

The nonlocal PNJL model's predictions align with lattice QCD data.

The model effectively captures the entanglement of transitions under magnetic backgrounds.

Abstract

Effects of a uniform (electro-) magnetic background field are investigated in the two-flavor nonlocal Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. Temperature-dependences of the chiral order-parameter and the Polyakov-loop are investigated under the magnetic field. In the nonlocal PNJL model with four-dimensional momentum dependent distribution function, pseudo-critical temperatures of the chiral and deconfinement transitions are coincident each other even if the magnetic field is strong. It means that we can check the reliability of the distribution function under the strong magnetic field by comparing with lattice QCD data, particularly from the viewpoint of the entanglement between the chiral and deconfinement transitions.