Nonperturbative QCD thermodynamics in the external magnetic field

TL;DR

This paper explores how external magnetic fields influence the thermodynamics of quarks and gluons in QCD, revealing complex behaviors in the thermodynamic potential under combined conditions.

Contribution

It introduces a detailed analysis of QCD thermodynamics with external magnetic fields, uncovering new structural features of the thermodynamic potential.

Findings

Magnetic fields significantly alter QCD thermodynamics.

The thermodynamic potential exhibits a complex structure under combined magnetic influences.

Spatial string tension remains constant despite external magnetic fields.

Abstract

The thermodynamics of quarks and gluons strongly depends on the vacuum colormagnetic field, which grows with the temperature $T$, so that spatial string tension $\sigma_s ={\rm const}~ g^4 (T) T^2$. We investigate below what happens when one imposes in addition constant magnetic field and discover remarkable structure of the resulting thermodynamic potential.