A geometric viewpoint on generalized hydrodynamics

摘要: Abstract Generalized hydrodynamics (GHD) is a large-scale theory for the dynamics of many-body integrable systems. It consists an infinite set conservation laws quasi-particles traveling with effective (“dressed”) velocities that depend on local state. We show these equations can be recast into geometric dynamical problem. They are state-independent quasi-particle velocities, in space equipped family metrics, parametrized by quasi-particles' type and speed, In classical hard rod or soliton gas picture, metrics measure free length as perceived quasi-particles; quantum they weigh density states available to them. Using this construction, we find general solution initial value problem GHD, terms integral where time appears explicitly. These solvable iteration provide extremely efficient algorithm GHD.