Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Generalized global symmetries and dissipative magnetohydrodynamics.

Grozdanov, Sašo and Hofman, Diego M. and Iqbal, Nabil (2017) 'Generalized global symmetries and dissipative magnetohydrodynamics.', Physical review D., 95 (9). 096003.

Abstract

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 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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Download PDF
(627Kb)
Full text:(VoR) Version of Record
Download PDF
(438Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1103/PhysRevD.95.096003
Publisher statement:Reprinted with permission from the American Physical Society: Physical Review D 95, 096003 © 2017 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:02 January 2017
Date deposited:09 May 2017
Date of first online publication:05 May 2017
Date first made open access:09 May 2017

Save or Share this output

Export:
Export
Look up in GoogleScholar