Operator product expansion for radial lattice quantization of 3D ϕ4 theory

Abstract

At its critical point, the three-dimensional lattice Ising model is described by a conformal field theory (CFT), the 3D Ising CFT. Instead of carrying out simulations on Euclidean lattices, we use the quantum finite elements method to implement radially quantized critical ϕ4 theory on simplicial lattices approaching R×S2. Computing the four-point function of identical scalars, we demonstrate the power of radial quantization by the accurate determination of the scaling dimensions Δε and ΔT as well as ratios of the operator product expansion coefficients fσσε and fσσT of the first spin-0 and spin-2 primary operators ε and T of the 3D Ising CFT. Published by the American Physical Society 2024