Generalized global symmetries and dissipative magnetohydrodynamics
By S. Grozdanov, D. Hofman, N. Iqbal. 2016
158 citations recorded by the source corpus.
The conserved magnetic flux of U ( 1 ) electrodynamics coupled to matter in four dimensions is associated with a generalized global symmetry. We study the realization of such a symmetry at finite temperature and develop the hydrodynamic theory describing fluctuations of a conserved 2-form current around thermal equilibrium. This can be thought of as a systematic derivation of relativistic magnetohydrodynamics, constrained only by symmetries and effective field theory. We construct the entropy current and show that at first order in derivatives, there are seven dissipative transport coefficients. We present a universal definition of resistivity in a theory of dynamical electromagnetism and derive a direct Kubo formula for the resistivity in terms of correlation functions of the electric field operator. We also study fluctuations and collective modes, deriving novel expressions for the dissipative widths of magnetosonic and Alfven modes. Finally, we demonstrate that a nontrivial truncation of the theory can be performed at low temperatures compared to the magnetic field: this theory has an emergent Lorentz invariance along magnetic field lines, and hydrodynamic fluctuations are now parametrized by a fluid tensor rather than a fluid velocity. Throughout, no assumption is made of weak electromagnetic coupling. Thus, our theory may have phenomenological relevance for dense electromagnetic plasmas.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9b2e4b6b1a312bf5c0a5c4641781bbbc1f954a9f
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Citations in the corpus
- Symmetries in Quantum Field Theory and Quantum Gravity (2018, background): “One can also work out a transport theory of higher-form charges, for example leading to a new and much more satisfactory conceptual understanding of magnetohydrodynamics [171].”
- Fate of spin polarization in a relativistic fluid: An entropy-current analysis (2019, background): “In this counting, the spin potential ω modifies the constitutive relations even at the zeroth order and provides a preferred orientation specified by ω = (1/2)ǫuνωρσ like a “strong” magnetic field B = O(∂) in magnetohydrodynamics [14–17].”
- Lecture notes on Generalised Hydrodynamics (2019, background): “rspectives have shown how its basic principles can be extended or deepened to account for many of the sometimes exotic systems that are of current interest in high-energy and condensed matter physics [6,7,8,9,10,11,12,13]. Large deviation theory, on the other hand, was developed in the 1960’s and 19”