Wigner functions for fermions in strong magnetic fields

作者：Sheng, Xin-li; Rischke, Dirk H.; Vasak, David; Wang, Qun^*

来源：European Physical Journal A, 2018, 54(2): 21.

DOI：10.1140/epja/i2018-12414-9

• QUARK-GLUON PLASMA
• TRANSPORT-EQUATIONS
• NUCLEAR COLLISIONS
• ELLIPTIC FLOW
• SPS

We compute the covariant Wigner function for spin-(1/2) fermions in an arbitrarily strong magnetic field by exactly solving the Dirac equation at non-zero fermion-number and chiral-charge densities. The Landau energy levels as well as a set of orthonormal eigenfunctions are found as solutions of the Dirac equation. With these orthonormal eigenfunctions we construct the fermion field operators and the corresponding Wigner-function operator. The Wigner function is obtained by taking the ensemble average of the Wigner-function operator in global thermodynamical equilibrium, i.e., at constant temperature T and non-zero fermion-number and chiral-charge chemical potentials mu and mu(5), respectively. Extracting the vector and axial-vector components of the Wigner function, we reproduce the currents of the chiral magnetic and separation effect in an arbitrarily strong magnetic field.

• 出版日期2018-2
• 单位中国科学技术大学