2000 character limit reached
Nonrelativistic Conformal Field Theories in the Large Charge Sector (1809.08188v2)
Published 21 Sep 2018 in hep-th, cond-mat.other, cond-mat.quant-gas, and cond-mat.str-el
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 $U(1)$ 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.