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2016

Generalized global symmetries and dissipative magnetohydrodynamics

Grozdanov, Sašo, Hofman, Diego M., Iqbal, Nabil

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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.

Generalized global symmetries and dissipative magnetohydrodynamics · Around

Built on

H. Alfvén, “Existence of Electromagnetic-Hydrodynamic Waves,” Nature (London)
1942
Earlier work this paper cites.
J. D. Bekenstein and E. Oron, “New conservation laws in general-relativistic magnetohydrodynamics,” Phys. Rev. D
1978
Earlier work this paper cites.
S. Ichimaru, “Strongly coupled plasmas: high-density classical plasmas and degenerate electron liquids,” Rev. Mod. Phys
1982
Earlier work this paper cites.
L. Landau and E. Lifshitz, “Fluid mechanics. 1987,” Course of Theoretical Physics
1987
Earlier work this paper cites.
K. Jedamzik, V. Katalinic, and A. V. Olinto, “Damping of cosmic magnetic fields,” Phys. Rev
1998
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev
1999
Earlier work this paper cites.
P. Kovtun, D. T. Son, and A. O. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys. Rev. Lett
2005
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Viscosity, Black Holes, and Quantum Field Theory,” Ann. Rev. Nucl. Part. Sci
Original
2007
Earlier work this paper cites.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets, and M. A. Stephanov, “Relativistic viscous hydrodynamics, conformal invariance, and holography,” JHEP
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP
Original
2008
Earlier work this paper cites.
R. Ryblewski and W. Florkowski, “General formulation of transverse hydrodynamics,” Phys. Rev
Original
2008
Earlier work this paper cites.
W. Florkowski, “Anisotropic fluid dynamics in the early stage of relativistic heavy-ion collisions,” Phys. Lett
Original
2008
Earlier work this paper cites.
Cambridge University Press, 2008
P. M. Bellan, Fundamentals of plasma physics · 2008
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
M. Rangamani, “Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence,” Class. Quant. Grav
Original
2009
Earlier work this paper cites.

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