Out-of-equilibrium chiral and $U_A(1)$ symmetry breaking in electromagnetic fields

Abstract

We systematically study quantum effect on chiral and $U_A(1)$ symmetry breaking under external electromagnetic fields in the frame of equal-time Wigner function formalism. We derive the transport and constraint equations for the quark distribution functions and the chiral and pion condensates in a Nambu--Jona-Lasinio model. By taking semi-classical expansion of the equations, chiral symmetry is broken at classical level, while $U_A(1)$ symmetry breaking happens only at quantum level. Beyond quasi-particle approximation, the quark off-shell effect leads to strong oscillation for the chiral and pion condensates.

7 pages, 1 figure, accepted by Physical Review D

References in corpus (5)

• QCD Phase Transition in a Strong Magnetic Background
• Inverse magnetic catalysis in dense holographic matter
• Chiral transition in a strong magnetic background
• Kinetic theory of transport for inhomogeneous electron fluids
• Nambu--Jona-Lasinio model in a parallel electromagnetic field

Cited by in corpus (10)

• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Mass Correction to Chiral Kinetic Equations
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Dynamically generated magnetic moment in the Wigner-function formalism
• Massless Limit of Transport Theory for Massive Fermions
• Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model
• Mass Correction to Chiral Kinetic Equations
• Equal-time kinetic equations in a rotational field
• Chiral Phase Transition in an Expanding Quark System