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Electric Conductivity of Hot and Dense Quark Matter in a Magnetic Field with Landau Level Resummation via Kinetic Equations

Kenji Fukushima and Yoshimasa Hidaka
Phys. Rev. Lett. 120, 162301 – Published 17 April 2018

Abstract

We compute the electric conductivity of quark matter at finite temperature T and a quark chemical potential μ under a magnetic field B beyond the lowest Landau level approximation. The electric conductivity transverse to B is dominated by the Hall conductivity σH. For the longitudinal conductivity σ, we need to solve kinetic equations. Then, we numerically find that σ has only a mild dependence on μ and the quark mass mq. Moreover, σ first decreases and then linearly increases as a function of B, leading to an intermediate B region that looks consistent with the experimental signature for the chiral magnetic effect. We also point out that σ at a nonzero B remains within the range of the lattice-QCD estimate at B=0.

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  • Received 19 November 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.162301

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Kenji Fukushima

  • Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

Yoshimasa Hidaka

  • Theoretical Research Division, Nishina Center, RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan and iTHEMS Program, RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan

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Issue

Vol. 120, Iss. 16 — 20 April 2018

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