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Fracton magnetohydrodynamics
- Publication Year :
- 2022
- Publisher :
- arXiv, 2022.
-
Abstract
- We extend recent work on hydrodynamics with global multipolar symmetries -- known as "fracton hydrodynamics" -- to systems in which the multipolar symmetries are gauged. We refer to the latter as "fracton magnetohydrodynamics", in analogy to conventional magnetohydrodynamics (MHD), which governs systems with gauged charge conservation. We show that fracton MHD arises naturally from higher-rank Maxwell's equations and in systems with one-form symmetries obeying certain constraints; while we focus on "minimal" higher-rank generalizations of MHD that realize diffusion, our methods may also be used to identify other, more exotic hydrodynamic theories (e.g., with magnetic subdiffusion). In contrast to semi-microscopic derivations of MHD, our approach elucidates the origin of the hydrodynamic modes by identifying the corresponding higher-form symmetries. Being rooted in symmetries, the hydrodynamic modes may persist even when the semi-microscopic equations no longer provide an accurate description of the system.<br />Comment: 44 pages, 2 figures; "Microscopic Hamiltonians" section added in v2
- Subjects :
- High Energy Physics - Theory
Condensed Matter - Strongly Correlated Electrons
Strongly Correlated Electrons (cond-mat.str-el)
Statistical Mechanics (cond-mat.stat-mech)
High Energy Physics - Theory (hep-th)
Physics::Space Physics
FOS: Physical sciences
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....f38631b6bd23281e49db4246d1d064b7
- Full Text :
- https://doi.org/10.48550/arxiv.2205.05695