Quantum kinetic theory for spin transport of quarks with background chromoelectromagnetic fields
Abstract
We derive the quantum kinetic equations for massive and massless quarks coupled with the background chromoelectromagnetic fields from the Wignerfunction approach with the n expansion and effective powercounting scheme. For each case, one obtains coupled colorsinglet and coloroctet kinetic equations, which also involve the scalar and axialvector components for the charge and spin transport. These kinetic equations delineate entangled evolution of the corresponding distribution functions decomposed in color space. At weak coupling, we derive the close form of the colorsinglet kinetic equations for spin transport, which incorporates the diffusion term and the source term that triggers dynamical spin polarization led by correlation functions of color fields. Also, the nondynamical source term is found in the axial Wigner function. The induced spin polarization and axial charge currents by these source terms are discussed under physical assumptions for colorfield correlators in nearequilibrium quark gluon plasmas. In the constantfield limit, we further obtain nonvanishing axial Ward identities, from which we extract the pseudoscalar condensate for massive quarks at finite temperature.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2022
 DOI:
 10.1007/JHEP06(2022)140
 arXiv:
 arXiv:2112.14392
 Bibcode:
 2022JHEP...06..140Y
 Keywords:

 QuarkGluon Plasma;
 Specific QCD Phenomenology;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Nuclear Theory
 EPrint:
 39 pages, 1 figure, significantly revised and extended, some mistakes corrected, major conclusion unchanged, journal version accepted by JHEP