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- Title
Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation.
- Authors
Glorioso, Paolo; Huang, Xiaoyang; Guo, Jinkang; Rodriguez-Nieva, Joaquin F.; Lucas, Andrew
- Abstract
We develop a Schwinger-Keldysh effective field theory describing the hydrodynamics of a fluid with conserved charge and dipole moments, together with conserved momentum. The resulting hydrodynamic modes are highly unusual, including sound waves with quadratic (magnon-like) dispersion relation and subdiffusive decay rate. Hydrodynamics itself is unstable below four spatial dimensions. We show that the momentum density is, at leading order, the Goldstone boson for a dipole symmetry which appears spontaneously broken at finite charge density. Unlike an ordinary fluid, the presence or absence of energy conservation qualitatively changes the decay rates of the hydrodynamic modes. This effective field theory naturally couples to curved spacetime and background gauge fields; in the flat spacetime limit, we reproduce the "mixed rank tensor fields" previously coupled to fracton matter.
- Subjects
NAMBU-Goldstone bosons; HYDRODYNAMICS; CURVED spacetime; DISPERSION relations; TENSOR fields; SOUND waves
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 5, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP05(2023)022