Wigner functions for fermions in strong magnetic fields
Wigner functions for fermions in strong magnetic fields
复制标题
强磁场中费米子的维格纳函数
DOI：
10.1140/epja/i2018-12414-9
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发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
Qun Wang
中科院分区：
文献类型：
--
作者：
Xin-Li Sheng;Dirk Rischke;David Vasak;Qun Wang
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 μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mu$\end{document} and μ5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mu_5$\end{document}, respectively. Extracting the vector and axial-vector components of the Wigner function, we reproduce the currents of the chiral magnetic and separation effect in an arbitrarily strong magnetic field.
We compute the covariant Wigner function for spin-(1/2) fermions in an arbitrarily strong magnetic field by exactly solving the Dirac equation at non-zero fermion-number and chiral-charge densities. The Landau energy levels as well as a set of orthonormal eigenfunctions are found as solutions of the Dirac equation. With these orthonormal eigenfunctions we construct the fermion field operators and the corresponding Wigner-function operator. The Wigner function is obtained by taking the ensemble average of the Wigner-function operator in global thermodynamical equilibrium, i.e., at constant temperature T and non-zero fermion-number and chiral-charge chemical potentials μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mu$\end{document} and μ5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mu_5$\end{document}, 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.
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影响因子：
1.6
作者：
通讯作者：
--
DOI：
10.4269/ajtmh.66-706err
发表时间：
2022-10-10
期刊：
The American Journal of Tropical Medicine and Hygiene
影响因子：
--
作者：
通讯作者：
--
影响因子：
5.2
作者：
V. Brochard;L. Jouneau;A. Bonnet-Garnier;H. Jammes;L. Vallier;M. I.Gabrielle;Brons;A. Jouneau
通讯作者：
V. Brochard;L. Jouneau;A. Bonnet-Garnier;H. Jammes;L. Vallier;M. I.Gabrielle;Brons;A. Jouneau
影响因子：
3.3
作者：
通讯作者：
--
影响因子：
1.7
作者：
S. M. Hölter;A. Javaheri;S. Kalaydjiev;T. Adler;I. Adham;H. Fuchs;V. Gailus-Durner;W. Wurst;M. Ollert;D. Busch;H. Schulz;M. H. Angelis;P. Burfeind
通讯作者：
S. M. Hölter;A. Javaheri;S. Kalaydjiev;T. Adler;I. Adham;H. Fuchs;V. Gailus-Durner;W. Wurst;M. Ollert;D. Busch;H. Schulz;M. H. Angelis;P. Burfeind