Snowmass White Paper: Effective Field Theories for Condensed Matter Systems

Tomas Brauner, Sean A. Hartnoll, Pavel Kovtun, Hong Liu, Márk Mezei, Alberto Nicolis, Riccardo Penco, Shu-Heng Shao, Dam Thanh Son

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arXiv
2203.10110
Date
2022-03-18
Frontier
Theory Frontier (TF)
Topical groups
Submitted by
Riccardo Penco

Abstract

We review recent progress and a number of future directions for applications of effective field theory methods to condensed matter systems broadly defined. Our emphasis is on areas that have allowed a fertile exchange of ideas between high energy physics and many-body theory. We discuss developments in the effective field theory of spontaneous symmetry breaking, of hydrodynamics and non-equilibrium dynamics more generally, fracton phases of matter, and dualities between 2+1 dimensional field theories. We furthermore discuss the application of effective field theory to non-Fermi liquids, the dynamics of entanglement entropy and to condensed matter aspects of cosmology.