Hydrodynamics in lattice models with continuous non-Abelian symmetries
Abstract
We develop a systematic effective field theory of hydrodynamics for many-body systems on the lattice with global continuous non-Abelian symmetries. Models with continuous non-Abelian symmetries are ubiquitous in physics, arising in diverse settings ranging from hot nuclear matter to cold atomic gases and quantum spin chains. In every dimension and for every flavor symmetry group, the low energy theory is a set of coupled noisy diffusion equations. Independence of the physics on the choice of canonical or microcanonical ensemble is manifest in our hydrodynamic expansion, even though the ensemble choice causes an apparent shift in quasinormal mode spectra. We use our formalism to explain why flavor symmetry is qualitatively different from hydrodynamics with other non-Abelian conservation laws, including angular momentum and charge multipoles.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 25, 2021
- Source ID
- 10.21468/scipostphys.10.1.015
Entities
People
- Andrew J. Lucas
- Luca Delacrétaz
- Paolo Glorioso
- Rahul Nandkishore
- Xiao Chen
Organizations
- Air Force Office of Scientific Research
- Alfred P. Sloan Foundation
- Boston College
- Simons Foundation
- Swiss National Science Foundation
- University of Chicago
- University of Colorado Boulder