Competition between magnetic catalysis effect and chiral rotation effect

Abstract

In this work, we explore the competition between magnetic catalysis effect and chiral rotation effect in a general parallel electromagnetic field within the effective Nambu--Jona-Lasinio model. For a given electric field $E$ at zero temperature, the mass gap shows three different features with respect to an increasing magnetic field $B$: increasing monotonically, decreasing after increasing and decreasing monotonically. By making use of strong magnetic field approximation, we illuminate that this is due to the competition between catalysis effect and chiral rotation effect induced both by the magnetic field, and a critical electric field $\sqrt{e{E}_c}=86.4\mathrm{MeV}$ is found beyond which the mass gap will eventually decrease at large $B$. As only large magnetic field is relevant for the derivation, the critical electric field does not depend on the temperature $T$ or chemical potential $\mu$.

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Cited by in corpus (10)

• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Nambu--Jona-Lasinio model in a parallel electromagnetic field
• "Splitting" magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Charged rho superconductor in the presence of magnetic field and rotation
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• Effects of a parallel electromagnetic field in three-flavor Nambu--Jona-Lasinio model
• The electromagnetic field effects in in-out and in-in formalisms
• Self-consistent thermodynamic potential for magnetized QCD matter
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields