2016/10/31 by Koichi Hattori, Daisuke Satow · 1 citation
Engineering · Physics and Astronomy · #Condensed matter physics #Electrical resistivity and conductivity #Gluon #High-Energy Particle Collisions Research #Magnetic field #Nuclear physics #Particle physics #Physics #Plasma #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Quark–gluon plasma #Superconducting Materials and Applications #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.94.114032
published as Phys. Rev. D 94, 114032 (2016) · 17 pages, 8 figures; v2: Ref. [33] updated; v3: Sec. VI-A largely changed, Fig. 8 added, a part mentioning Dirac semimetal in Sec. VII modified, Ref. [46] added
arxiv created 2016/12/21 · openalex publication_date 2016/12/27 · arxiv updated 2016/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the electrical conductivity of quark-gluon plasma in a strong magnetic field B with quantum field theory at finite temperature using the lowest Landau level approximation. We provide the one-loop result arising from 1-to-2 scattering processes of which the kinematics are satisfied by the (1+1)-dimensional fermion dispersion relation. Because of the chirality conservation, the conductivity diverges in the massless limit and is sensitive to the value of the current quark mass. As a result, we find that the conductivity along the direction of the magnetic field is quite large compared with the value at B=0, mainly because of the small value of the current quark mass. We show that the resummation of the ladder diagrams for the current-current correlator gives rise to only subleading contributions beyond the leading-log order and thus verify our one-loop result at the leading-log accuracy. We also discuss possible implications for the relativistic heavy-ion collisions.