Nonrelativistic transport theory from vorticity dependent quantum kinetic equation

@article{Dayi2022NonrelativisticTT,
  title={Nonrelativistic transport theory from vorticity dependent quantum kinetic equation},
  author={Omer Faruk Dayi and Sabri Efe G{\"u}rleyen},
  journal={Physical Review D},
  year={2022}
}
We study the three-dimensional transport theory of massive spin-1/2 fermions resulting from the vorticity dependent quantum kinetic equation. This quantum kinetic equation has been introduced to take account of noninertial properties of rotating coordinate frames. We show that it is the appropriate relativistic kinetic equation which provides the vorticity dependent semiclassical transport equations of the three-dimensional Wigner function components. We establish the semiclassical kinetic… 

References

SHOWING 1-10 OF 41 REFERENCES

Quantum kinetic equation in the rotating frame and chiral kinetic theory

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

Semiclassical transport equations of Dirac particles in rotating frames

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

Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions

Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the

Chiral kinetic theory in curved spacetime

Many-body systems with chiral fermions exhibit anomalous transport phenomena originated from quantum anomalies. Based on quantum field theory, we derive the kinetic theory for chiral fermions

Relativistic quantum transport theory for electrodynamics

We investigate the relationship between the covariant and the three-dimensional (equal-time) formulations of quantum kinetic theory. We show that the three-dimensional approach can be obtained as the

General equilibrium second-order hydrodynamic coefficients for free quantum fields

A bstractWe present a systematic calculation of the corrections of the stress-energy tensor and currents of the free boson and Dirac fields up to second order in thermal vorticity, which is relevant

Axial kinetic theory and spin transport for fermions with arbitrary mass

We derive the quantum kinetic theory for fermions with arbitrary mass in a background electromagnetic field from the Wigner-function approach. Since spin of massive fermions is a dynamical degree of

Chiral anomaly and local polarization effect from the quantum kinetic approach.

A power expansion scheme is set up to determine the Wigner function that satisfies the quantum kinetic equation for spin-1/2 charged fermions in a background electromagnetic field. Vector and

Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates

The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles, a

Nonlinear Responses of Chiral Fluids from Kinetic Theory

The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that