Magnetohydrodynamics as superfluidity

Abstract

We show that relativistic magnetohydrodynamics (MHD) can be recast as a novel theory of superfluidity. This new theory formulates MHD just in terms of conservation equations, including dissipative effects, by introducing appropriate variables such as a magnetic scalar potential, and providing necessary and sufficient conditions to obtain equilibrium configurations. We show that this scalar potential can be interpreted as a Goldstone mode originating from the spontaneous breaking of a one-form symmetry, and present the most generic constitutive relations at one derivative order for a parity-preserving plasma in this new superfluid formulation.

v2: 6 pp; presentation improved; added example of magnetised star; to be published in PRL

References in corpus (2)

• Generalized Global Symmetries
• Dissipative String Fluids

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