Correlation functions and transport coefficients in generalised hydrodynamics
Abstract
We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response on top of equilibrium and non-equilibrium states. We consider the problems from the complementary perspectives of the general hydrodynamic theory of many-body systems, including hydrodynamic projections, and form-factor expansions in integrable models, and show how they provide a comprehensive and consistent set of exact methods to extract large scale behaviours. Finally, we overview various applications in integrable spin chains and field theories.
Cite
@article{arxiv.2104.04462,
title = {Correlation functions and transport coefficients in generalised hydrodynamics},
author = {Jacopo De Nardis and Benjamin Doyon and Marko Medenjak and Miłosz Panfil},
journal= {arXiv preprint arXiv:2104.04462},
year = {2022}
}
Comments
93 pages, 16 figures. To appear in JSTAT special issue "Emergent Hydrodynamics in Integrable Many-body Systems"