Deconfinement Phase Transition with External Magnetic Field in Friedberg-Lee Model

TL;DR

This paper studies how external magnetic fields influence the deconfinement phase transition in the Friedberg-Lee model, revealing magnetic catalysis effects and the increased difficulty of deconfinement under such conditions.

Contribution

It extends the potential expansion method within the functional renormalization group framework to analyze first-order phase transitions in this context.

Findings

Magnetic field acts as a catalyst for deconfinement.

Magnetic field makes it harder to break confinement in hot and dense media.

The method successfully models first-order phase transitions.

Abstract

The deconfinement phase transition with external magnetic field is investigated in the Friedberg-Lee model. In the frame of functional renormalization group, we extend the often used potential expansion method for continuous phase transitions to the first-order phase transition in the model. By solving the flow equations we find that, the magnetic field displays a catalysis effect and it becomes more difficult to break through the confinement in hot and dense medium.