Longitudinal Conductivity in Strong Magnetic Field in Perturbative QCD: Complete Leading Order

2016/10/31 by Koichi Hattori, Shiyong Li, Daisuke Satow +1 · 1 citation
Physics and Astronomy · #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.95.076008

published as Phys. Rev. D 95, 076008 (2017) · 40 pages, 1 figure. v3: published version

arxiv created 2017/04/19 · arxiv updated 2017/04/20

Abstract

We compute the longitudinal electrical conductivity in the presence of strong background magnetic field in complete leading order of perturbative QCD, based on the assumed hierarchy of scales α_s eB≪ (m_q²,T²)≪ eB. We formulate an effective kinetic theory of lowest Landau level quarks with the leading order QCD collision term arising from 1-to-2 processes that become possible due to 1+1 dimensional Landau level kinematics. In small m_q/T≪ 1 regime, the longitudinal conductivity behaves as σ_zz∼ e²(eB)T/(α_s m_q²log(m_q/T)), where the quark mass dependence can be understood from the chiral anomaly with the axial charge relaxation provided by a finite quark mass m_q. We also present parametric estimates for the longitudinal and transverse "color conductivities" in the presence of strong magnetic field, by computing dominant damping rates for quarks and gluons that are responsible for color charge transportation. We observe that the longitudinal color conductivity is enhanced by strong magnetic field, which implies that the sphaleron transition rate in perturbative QCD is suppressed by strong magnetic field due to the enhanced Lenz's law in color field dynamics.

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