Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field

E. V. Gorbar, V. A. Miransky, Igor Shovkovy, P. O. Sukhachov

    Research output: Contribution to journalArticlepeer-review

    17 Scopus citations

    Abstract

    By using the exact solutions of the Weyl equation in a constant magnetic field, the equal-time Wigner function for magnetized chiral plasma is derived. It is found that the dependence of the Wigner function on the component of momentum along the magnetic field is asymmetric and is correlated with the fermion chirality. Such a dependence is principal for reproducing the correct chiral magnetic and chiral separation effects. In the lowest Landau level approximation, the equation for the equal-time Wigner function in a strong magnetic field is derived. By making use of this equation, it is found that the longitudinal collective modes in a strong magnetic field are gapped plasmons whose gap is determined by the magnetic field. Unlike the ordinary magnetic field, an axial one allows for the dispersion law of the collective excitations asymmetric in the wave vector. The thermoelectric phenomena for chiral fermions in strong magnetic and axial magnetic fields are studied and the corresponding transport coefficients are calculated.

    Original languageEnglish (US)
    Article number103
    JournalJournal of High Energy Physics
    Volume2017
    Issue number8
    DOIs
    StatePublished - Aug 1 2017

    Keywords

    • Anomalies in Field and String Theories
    • Quark-Gluon Plasma
    • Thermal Field Theory
    • Topological States of Matter

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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