Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
arXiv:2005.10239 · doi:10.1007/JHEP02(2021)011
Abstract
We provide a statistical mechanical derivation of relativistic magnetohydrodynamics on the basis of the -dimensional quantum electrodynamics; the system endowed with the magnetic one-form symmetry. The conservation laws and the constitutive relations are presented in a manifestly covariant way with respect to the general coordinate transformation. The method of the local Gibbs ensemble (or nonequilibrium statistical operator) combined with the path-integral formula for the thermodynamic functional enables us to obtain an exact form of the constitutive relations. Applying the derivative expansion to the exact formula, we derive the first-order constitutive relations for the relativistic magnetohydrodynamics. The result for the QED plasma preserving the parity and charge-conjugation symmetries is equipped with two electrical resistivities and five (three bulk and two shear) viscosities. We also show that those transport coefficients satisfy the Onsager's reciprocal relation and a set of inequalities, indicating the semi-positivity of the entropy production rate consistent with the local second law of thermodynamics.
arXiv comment47 pages, 4 figures, minor corrections, published version
References in corpus (59)
- The Dynamics of General Relativity
- The Chiral Magnetic Effect
- Generalized Global Symmetries
- Extremely high-intensity laser interactions with fundamental quantum systems
- Lectures on holographic methods for condensed matter physics
- Heavy Quark Symmetry
- Hydrodynamics with Triangle Anomalies
- Complete Tenth-Order QED Contribution to the Muon g-2
- Lectures on hydrodynamic fluctuations in relativistic theories
- Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant
- Exploring 2-Group Global Symmetries
- Constraints on Fluid Dynamics from Equilibrium Partition Functions
- Towards hydrodynamics without an entropy current
- Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
- Relativistic Hydrodynamics with General Anomalous Charges
- Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
- Fate of spin polarization in a relativistic fluid: An entropy-current analysis
- Generalized global symmetries and dissipative magnetohydrodynamics
- Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
- The chiral magnetic effect in hydrodynamical approach
- Viscosity and dissipative hydrodynamics from effective field theory
- Adiabatic hydrodynamics: The eightfold way to dissipation
- Relativistic magnetohydrodynamics
- Kubo formulas for relativistic fluids in strong magnetic fields
- Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
- Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
- Relativistic Plasma Physics in Supercritical Fields
- Holography and hydrodynamics with weakly broken symmetries
- Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
- Effective field theory for dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current
- A theory of first order dissipative superfluid dynamics
- Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
- Triangle Anomalies, Thermodynamics, and Hydrodynamics
- Dissipative hydrodynamics in superspace
- Longitudinal Conductivity in Strong Magnetic Field in Perturbative QCD: Complete Leading Order
- Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
- Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
- Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
- Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
- Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
- Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma
- Magnetohydrodynamics as superfluidity
- Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
- Effective Action for Relativistic Hydrodynamics: Fluctuations, Dissipation, and Entropy Inflow
- Effective description of hot QCD medium in strong magnetic field and longitudinal conductivity
- Shear Viscosity of Quark-Gluon Plasma in Weak Magnetic Field in Perturbative QCD: Leading Log
- Transport coefficients of hot and dense hadron gas in a magnetic field: a relaxation time approach
- Derivation of Hydrodynamics from the Hamiltonian description of particle systems
- MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
- A panoply of Schwinger-Keldysh transport
- Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction
- Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
- One-form superfluids and magnetohydrodynamics
- Path-integral formula for local thermal equilibrium
- An anomalous hydrodynamics for chiral superfluid
- Conductivities of magnetic quark-gluon plasma at strong coupling
- Impact of magnetic field on shear viscosity of quark matter in Nambu-Jona-Lasinio model
- Resummation for the Field-theoretical Derivation of the Negative Magnetoresistance
- Anomaly-induced transport phenomena from the imaginary-time formalism
Cited by in corpus (11)
- Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
- New developments in relativistic magnetohydrodynamics
- Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
- One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized Bosonic and Fermionic systems
- Magneto-vortical Effect in Strong Magnetic Field
- Collective modes of polarizable holographic media in magnetic fields
- Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
- Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
- Preponderant Orbital Polarization in Relativistic Magnetovortical Matter
- Generalized relativistic second order magnetohydrodynamics: A correlation function approach using Zubarev's nonequilibrium statistical operator
- Physics of strong electromagnetic fields in relativistic heavy-ion collisions