TL;DR
This paper reformulates relativistic magnetohydrodynamics as a superfluid theory using conservation laws, scalar potentials, and symmetry breaking, providing new insights into equilibrium states and constitutive relations.
Contribution
It introduces a novel superfluid framework for MHD, linking magnetic scalar potentials to Goldstone modes from symmetry breaking, and derives generic constitutive relations.
Findings
Magnetohydrodynamics can be expressed as a superfluid with conservation laws.
The magnetic scalar potential acts as a Goldstone mode from symmetry breaking.
Provides the most general constitutive relations at one derivative order.
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.
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