Magnetohydrodynamics as superfluidity
High Energy Physics - Theory
2019-04-17 v2 High Energy Astrophysical Phenomena
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1808.01939,
title = {Magnetohydrodynamics as superfluidity},
author = {Jay Armas and Akash Jain},
journal= {arXiv preprint arXiv:1808.01939},
year = {2019}
}
Comments
v2: 6 pp; presentation improved; added example of magnetised star; to be published in PRL