Chiral hydrodynamics in strong external magnetic fields

A bstract 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 pa...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2021; no. 4; pp. 1 - 82
Main Authors: Ammon, Martin, Grieninger, Sebastian, Hernandez, Juan, Kaminski, Matthias, Koirala, Roshan, Leiber, Julian, Wu, Jackson
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2021
Springer Nature B.V
Springer Nature
SpringerOpen
Subjects:
AdS-CFT Correspondence
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computational fluid dynamics
Conductivity
Constitutive equations
Constitutive relationships
Effective Field Theories
Elementary Particles
Energy dissipation
Field theory
Fluid flow
Functionals
High energy physics
holography and condensed matter physics (AdS/CMT)
Holography and quark-gluon plasmas
Hydrodynamics
Magnetic fields
Mathematical analysis
Momentum
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Shear
String Theory
Tensors
Transport properties
AdS-CFT Correspondence
Effective Field Theories
Holography and condensed matter physics (AdS/CMT)
Holography and quark-gluon plasmas
ISSN:1029-8479, 1029-8479
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Summary:A bstract 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.
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German Research Foundation (DFG)
Comunidad de Madrid
SC0012447; 406235073; 2017-T1/TIC-5258; SEV-2016-0597; PGC2018-095976-B-C21
USDOE Office of Science (SC)
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2021)078