Nonrelativistic Conformal Field Theories in the Large Charge Sector
High Energy Physics - Theory
2019-04-12 v2 Other Condensed Matter
Quantum Gases
Strongly Correlated Electrons
Abstract
We study Schr\"odinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory (EFT) for a Goldstone boson of the associated symmetry in a harmonic potential. This EFT can be studied semi-classically in a large charge expansion. We calculate the dimensions of the lowest lying operators, as well as correlation functions of charged operators. We find universal behavior of three point function in large charge sector. We comment on potential applications to fermions at unitarity and critical anyon systems.
Keywords
Cite
@article{arxiv.1809.08188,
title = {Nonrelativistic Conformal Field Theories in the Large Charge Sector},
author = {S. M. Kravec and Sridip Pal},
journal= {arXiv preprint arXiv:1809.08188},
year = {2019}
}
Comments
24 pages