Revisiting relativistic magnetohydrodynamics from quantum electrodynamics
Open Access
- 1 February 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of High Energy Physics
- Vol. 2021 (2), 1-47
- https://doi.org/10.1007/jhep02(2021)011
Abstract
We provide a statistical mechanical derivation of relativistic magnetohydrodynamics on the basis of (3 + 1)-dimensional quantum electrodynamics; the system endowed with a magnetic one-form symmetry. The conservation laws and 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 a thermodynamic functional enables us to obtain exact forms of constitutive relations. Applying the derivative expansion to exact formulas, we derive the first-order constitutive relations for nonlinear relativistic magnetohydrodynamics. Our results for the QED plasma preserving parity and charge-conjugation symmetries are 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 semi-positivity of the entropy production rate consistent with the local second law of thermodynamics.This publication has 96 references indexed in Scilit:
- The chiral magnetic effect in hydrodynamical approachPhysics Letters B, 2011
- Heavy-quark symmetryPhysics Reports, 1994
- Optimized perturbation theoryPhysical Review D, 1981
- Derivation of nonlinear generalized equations of quantum relativistic hydrodynamicsTheoretical and Mathematical Physics, 1979
- The renormalization group: Critical phenomena and the Kondo problemReviews of Modern Physics, 1975
- Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical BehaviorPhysical Review B, 1971
- Quantum Electrodynamics at Small DistancesPhysical Review B, 1954
- Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in FluidsThe Journal of Chemical Physics, 1954
- Quantum Electrodynamics. III. The Electromagnetic Properties of the Electron—Radiative Corrections to ScatteringPhysical Review B, 1949
- Quantum Electrodynamics. I. A Covariant FormulationPhysical Review B, 1948