Two- and three-point functions at criticality: Monte Carlo simulations of the three-dimensional $(q+1)$-state clock model

Abstract

We simulate the improved $(q+1)$-state clock model on the simple cubic lattice at the critical point on lattices of a linear size up to $L=960$. We compute operator product expansion (OPE) coefficients for the three-dimensional XY universality class. These are compared with highly accurate estimates obtained by using the conformal bootstrap method. We find that the results are consistent.

24 pages, 7 figures, text extended, figures improved, figures 6 and 7 previously had, by mistake, data for direction d instead of f

References in corpus (6)

• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• The critical exponents of the superfluid transition in He4
• Monte Carlo study of an improved clock model in three dimensions
• Numerical determination of OPE coefficients in the 3D Ising model from off-critical correlators
• Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model
• Numerical estimation of structure constants in the 3d Ising CFT through Markov chain UV sampler

Cited by in corpus (3)

• Operator Product Expansion Coefficients of the 3D Ising Criticality via Quantum Fuzzy Sphere
• Self-dual criticality in three-dimensional ${\mathbb{Z}}_2$ gauge theory with matter
• Operator product expansion coefficients from the nonperturbative functional renormalization group