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Title: Chiral hydrodynamics in strong external magnetic fields

Abstract

We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.

Authors:
 [1]; ORCiD logo [2];  [3];  [4];  [4];  [1];  [4]
+ Show Author Affiliations
  1. Friedrich-Schiller-Universität Jena, Jena (Germany). Theoretisch-Physikalisches Institut
  2. Friedrich-Schiller-Universität Jena, Jena (Germany). Theoretisch-Physikalisches Institut; Technische Univ. Wien (Austria). Inst. for Theoretical Physics; Universidad Autónoma de Madrid (Spain). Departamento de Física Téorica
  3. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Univ. of Waterloo, ON (Canada). Dept. of Physics and Astronomy
  4. Univ. of Alabama, Tuscaloosa, AL (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of Alabama, Tuscaloosa, AL (United States)
Sponsoring Org.:
USDOE Office of Science (SC); German Research Foundation (DFG); Comunidad de Madrid
OSTI Identifier:
1851626
Grant/Contract Number:  
SC0012447; 406235073; 2017-T1/TIC-5258; SEV-2016-0597; PGC2018-095976-B-C21
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; AdS-CFT correspondence; effective field theories; holography and condensed matter physics (AdS/CMT); holography and quark-gluon plasmas

Citation Formats

Ammon, Martin, Grieninger, Sebastian, Hernandez, Juan, Kaminski, Matthias, Koirala, Roshan, Leiber, Julian, and Wu, Jackson. Chiral hydrodynamics in strong external magnetic fields. United States: N. p., 2021. Web. doi:10.1007/jhep04(2021)078.
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Ammon, Martin, Grieninger, Sebastian, Hernandez, Juan, Kaminski, Matthias, Koirala, Roshan, Leiber, Julian, & Wu, Jackson. Chiral hydrodynamics in strong external magnetic fields. United States. https://doi.org/10.1007/jhep04(2021)078
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Ammon, Martin, Grieninger, Sebastian, Hernandez, Juan, Kaminski, Matthias, Koirala, Roshan, Leiber, Julian, and Wu, Jackson. Fri . "Chiral hydrodynamics in strong external magnetic fields". United States. https://doi.org/10.1007/jhep04(2021)078. https://www.osti.gov/servlets/purl/1851626.
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@article{osti_1851626,
title = {Chiral hydrodynamics in strong external magnetic fields},
author = {Ammon, Martin and Grieninger, Sebastian and Hernandez, Juan and Kaminski, Matthias and Koirala, Roshan and Leiber, Julian and Wu, Jackson},
abstractNote = {We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.},
doi = {10.1007/jhep04(2021)078},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2021,
place = {United States},
year = {Fri Apr 09 00:00:00 EDT 2021},
month = {Fri Apr 09 00:00:00 EDT 2021}
}
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text, January 2020

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text, January 2014

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text, January 2016

Thermodynamics of polarized relativistic matter
text, January 2016

Holographic quenches and anomalous transport
text, January 2016

Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
text, January 2020

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