Abstract
We establish covariant semiclassical transport equations of massive spin-1/2 particles which are generated by the quantum kinetic equation modified by enthalpy current dependent terms. The purpose of modification is to take into account the noninertial properties due to the angular velocity of rotating frame which is equivalent to the fluid vorticity in hydrodynamical approach. We present the equations satisfied by the Wigner function components and by studying their solution in the semiclassical approximation we accomplish the transport equations. To acquire a three-dimensional kinetic theory, the relativistic kinetic equations in the comoving frame are integrated over the zeroth component of four-momentum. The resulting vector and axial-vector currents are calculated at zero temperature. There exists another three-dimensional formulation of Dirac particles which correctly addresses the noninertial features of rotating coordinates. We review it briefly and obtain the mass corrections to the chiral vector and axial-vector currents produced by this formulation.
Highlights
Quark-gluon plasma created in heavy-ion collisions form a novel phase of nuclear matter
In the systems composed of chiral fermions collective behavior generates the vector and axial-vector current terms proportional to magnetic field known as the chiral magnetic effect [1,2,3] and the chiral separation effect [4,5]
The dynamics of chiral fermions can be investigated by means of the covariant quantum kinetic equation in Minkowski space [11,12]
Summary
Quark-gluon plasma created in heavy-ion collisions form a novel phase of nuclear matter. The dynamics of chiral fermions can be investigated by means of the covariant quantum kinetic equation in Minkowski space [11,12] This transport equation lacks the similarity between the magnetic field and the vorticity. The aim of this work is to study massive spin-1=2 fermions in terms of two different semiclassical kinetic theory approaches whose common characteristics lie in the facts that the similarity between magnetic field and vorticity is manifest, and the noninertial features like the Coriolis force are addressed correctly. We propose to modify the quantum kinetic equation of Dirac particles by means of some enthalpy current dependent terms guided by the chiral formalism [17]. For T ≠ 0 it seems that small mass corrections differ, a detailed study is needed
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