Numerical tests of the large charge expansion

Abstract

We perform Monte-Carlo measurements of two and three point functions of charged operators in the critical O(2) model in 3 dimensions. Our results are compatible with the predictions of the large charge superfluid effective field theory. To obtain reliable measurements for large values of the charge, we improved the Worm algorithm and devised a measurement scheme which mitigates the uncertainties due to lattice and finite size effects.

16 pages, 12 figures. v2: Improved finite size scaling. v3: Added comparison between Monte Carlo updates

References in corpus (8)

• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Comments on operators with large spin
• Monte Carlo study of an improved clock model in three dimensions
• Feynman diagrams and the large charge expansion in $3-\epsilon$ dimensions
• Operator Dimensions from Moduli
• Partition function on spheres: how (not) to use zeta function regularization
• The OPE meets semiclassics
• Yukawa interactions at Large Charge

Cited by in corpus (3)

• Constructing the Infrared Conformal Generators on the Fuzzy Sphere
• Large charge operators at large spin from relativistically rotating vortices
• Matrix models for extremal and integrated correlators of higher rank