Hydrodynamics in lattice models with continuous non-Abelian symmetries

Understand

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.