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Resummation for the field-theoretical derivation of the negative magnetoresistance

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  • Published: 24 April 2020
  • Volume 2020, article number 162, (2020)
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Resummation for the field-theoretical derivation of the negative magnetoresistance
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  • Kenji Fukushima1,2 &
  • Yoshimasa Hidaka3,4 

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  • 20 Citations

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A preprint version of the article is available at arXiv.

Abstract

We show detailed derivation of the electric conductivity of quark matter at finite temperature and density under a magnetic field. We especially focus on the longitudinal electric conductivity along the magnetic direction and establish the field-theoretical description of the negative magnetoresistance as observed in chiral materials. With increasing magnetic field our microscopic calculation leads to changing behavior from approximately quadratic to asymptotically linear dependence of the electric conductivity, while the magnetic dependence is quadratic in the conventional relaxation time approximation. The presented formulation founds a firm basis for the physical interpretation of the negative magnetoresistance in terms of the particle and the hydrodynamic contributions, as well as it offers general methodology applicable for various transport coefficients.

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Authors and Affiliations

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

    Kenji Fukushima

  2. Institute for Physics of Intelligence, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan

    Kenji Fukushima

  3. Theoretical Research Division, Nishina Center, RIKEN, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan

    Yoshimasa Hidaka

  4. RIKEN iTHEMS, RIKEN, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan

    Yoshimasa Hidaka

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  1. Kenji Fukushima
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Correspondence to Kenji Fukushima.

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Cite this article

Fukushima, K., Hidaka, Y. Resummation for the field-theoretical derivation of the negative magnetoresistance. J. High Energ. Phys. 2020, 162 (2020). https://doi.org/10.1007/JHEP04(2020)162

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  • Received: 15 June 2019

  • Revised: 19 March 2020

  • Accepted: 06 April 2020

  • Published: 24 April 2020

  • DOI: https://doi.org/10.1007/JHEP04(2020)162

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Keywords

  • Resummation
  • Quark-Gluon Plasma
  • Perturbative QCD
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