Relativistic magnetohydrodynamics

Hernandez, Juan; Kovtun, Pavel

doi:10.1007/jhep05(2017)001

Cited by 144 publications

(356 citation statements)

References 27 publications

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“…8 The Kubo formulas (3.23) and (3.27)-(3.29) agree with those presented in Ref. [36]. We thank Pavel Kovtun for discussions regarding these matters.…”

Section: B Kubo Formulassupporting

confidence: 81%

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Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions

Grozdanov

Schee²

2017

Phys. Rev. Lett.

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The conserved magnetic flux of Uð1Þ 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 Alfvén 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.

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“…8 The Kubo formulas (3.23) and (3.27)-(3.29) agree with those presented in Ref. [36]. We thank Pavel Kovtun for discussions regarding these matters.…”

Section: B Kubo Formulassupporting

confidence: 81%

“…This inaccuracy was pointed out to us by the authors of Ref. [36], and we thank them for bringing this to our attention. expansion (3.11) and (3.12) into (3.16) and neglecting the fluid gradient terms, we find that the electric field created by this current source is…”

Section: ð3:8þmentioning

confidence: 74%

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions

Grozdanov

Schee²

2017

Phys. Rev. Lett.

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“…In [7] (see also earlier work in [8,9]) the hydrodynamic theory of such a system at finite temperature was developed and shown to be equivalent to a generalized form of relativistic magnetohydrodynamics. See also [10] for a recent discussion of magnetohydrodynamics in the conventional formulation.…”

Section: Electromagetism Coupled To Electrically Charged Mattermentioning

confidence: 99%

Generalized global symmetries and holography

2018

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We study the holographic duals of four-dimensional field theories with 1-form global symmetries, both discrete and continuous. Such higher-form global symmetries are associated with antisymmetric tensor gauge fields in the bulk. Various different realizations are possible: we demonstrate that a Maxwell action for the bulk antisymmetric gauge field results in a non-conformal field theory with a marginally running double-trace coupling. We explore its hydrodynamic behavior at finite temperature and make contact with recent symmetry-based formulations of magnetohydrodynamics. We also argue that discrete global symmetries on the boundary are dual to discrete gauge theories in the bulk. Such gauge theories have a bulk Chern-Simons description: we clarify the conventional 0-form case and work out the 1-form case. Depending on boundary conditions, such discrete symmetries may be embedded in continuous higher-form symmetries that are spontaneously broken. We study the resulting boundary Goldstone mode, which in the 1-form case may be thought of as a boundary photon. Our results clarify how the global form of the field theory gauge group is encoded in holography. Finally, we study the interplay of Maxwell and Chern-Simons terms put together. We work out the operator content and demonstrate the existence of new backreacted anisotropic scaling solutions that carry higher-form charge.

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“…sources; strictly speaking, electromagnetism is a gauge theory and dynamical gauge fields complicate the hydrodynamic description [22,27], although the physics is only qualitatively different under extreme magnetic fields.…”

Section: Jhep06(2017)054mentioning

confidence: 99%

“…In the presence of a finite magnetic field, the viscosity becomes a fourth-rank tensor with multiple non-vanishing coefficients: see e.g. [22,27]. Other contributions are proportional to third-order corrections (in spatial gradients) to the charge current J µ ; these can be thought of as k 2 corrections to the coefficient c in (4.8).…”

Section: Jhep06(2017)054mentioning

confidence: 99%

Magnetoresistance in relativistic hydrodynamics without anomalies

Baumgartner

Karch

Lucas

2017

J. High Energ. Phys.

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We present expressions for the magnetoconductivity and the magnetoresistance of a strongly interacting metal in 3 + 1 dimensions, derivable from relativistic hydrodynamics. Such an approach is suitable for ultraclean metals with emergent Lorentz invariance. When this relativistic fluid contains chiral anomalies, it is known to exhibit longitudinal negative magnetoresistance. We show that similar effects can arise in nonanomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galilean-invariant fluid, the resistivity tensor of a dirty relativistic fluid exhibits similar angular dependence to negative magnetoresistance, even when the constitutive relations and momentum relaxation rate are isotropic. We further account for the effect of magnetic field-dependent corrections to the gradient expansion and the effects of long-wavelength impurities on magnetoresistance. We note that the holographic D3/D7 system exhibits negative magnetoresistance.

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Relativistic magnetohydrodynamics

Cited by 144 publications

References 27 publications

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions

Generalized global symmetries and holography

Magnetoresistance in relativistic hydrodynamics without anomalies

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