Abstract
We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter. We derive the equal-time transport and constraint equations for the quark Wigner function in a magnetized quark model and solve them in the semi-classical expansion. The quark mass and magnetic moment are self-consistently coupled to the Wigner function and controlled by the kinetic equations. While the quark mass is dynamically generated at the classical level, the quark magnetic moment is a pure quantum effect, induced by the quark spin interaction with the external magnetic field.
Highlights
We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter
U (1)A symmetry breaking and spontaneous chiral symmetry breaking in vacuum and their restoration in medium are investigated for thermal equilibrium systems in an SU (3) linear sigma model [13] and for non-equilibrium systems in an NJL model [14]
The quark magnetic moment is closely related to the chiral symmetry of quantum chromodynamics (QCD) [4,5,6], which is spontaneously broken in vacuum through the chiral condensate ψψ or the dynamical quark mass mq
Summary
We study how the mass and magnetic moment of the quarks are dynamically generated in nonequilibrium quark matter. The quark mass and magnetic moment are self-consistently coupled to the Wigner function and controlled by the kinetic equations.
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