Large-charge conformal dimensions at the $O(N)$ Wilson-Fisher fixed point

Abstract

Recent work using a large-charge expansion for the O(N ) Wilson-Fisher conformal field theory has shown that the anomalous dimensions of large-charge operators can be expressed in terms of a few low-energy constants (LECs) of a large-charge effective field theory (EFT). By performing lattice Monte Carlo computations at the O(N ) Wilson-Fisher fixed point, we compute the anomalous dimensions of large-charge operators up to N = 8 and charge Q = 10, and extract the leading and subleading LECs of the O(N ) large-charge EFT. To alleviate the signal-to-noise ratio problem present in the large-charge sector of conventional lattice formulations of the O(N ) theory, we employ a recently developed qubit formulation of the O(N ) nonlinear sigma models with a worm algorithm. This enables us to test the validity of the large-charge expansion and the recent large-N predictions for the coefficients of the large-charge EFT.

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