Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation Journal Article uri icon

Overview

abstract

  • 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.

publication date

  • May 2, 2023

has restriction

  • gold

Date in CU Experts

  • January 27, 2024 11:25 AM

Full Author List

  • Glorioso P; Huang X; Guo J; Rodriguez-Nieva JF; Lucas A

author count

  • 5

Other Profiles

Electronic International Standard Serial Number (EISSN)

  • 1029-8479

Additional Document Info

volume

  • 2023

issue

  • 5

number

  • 22