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Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory

High Energy Physics - Theory 2018-10-24 v3 Mesoscale and Nanoscale Physics Nuclear Theory

Abstract

A modified quantum kinetic equation which takes account of the noninertial features of rotating frame is proposed. The vector and axial-vector field components of the Wigner function for chiral fluids are worked out in a semiclassical scheme. It is demonstrated that the chiral currents and energy-momentum tensor computed by means of them are consistent with the hydrodynamical results. A new semiclassical covariant chiral transport equation is established by inspecting the equations satisfied by the chiral vector fields. It uniquely provides a new three-dimensional semiclassical chiral kinetic theory possessing a Coriolis force term. The particle number and current densities deduced from this transport equation satisfy the anomalous continuity equation and generate the magnetic and vortical effects correctly.

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Cite

@article{arxiv.1807.05912,
  title  = {Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory},
  author = {Omer F. Dayi and Eda Kilincarslan},
  journal= {arXiv preprint arXiv:1807.05912},
  year   = {2018}
}

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