2022/05/18 by Bertucci, Francesco, Henriksson, Johan, McPeak, Brian
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2205.09132
We use large spin perturbation theory and the Lorentzian inversion formula to compute order-ε corrections to mixed correlators in the O(n) Wilson-Fisher CFT in 4 - ε dimensions. In particular, we find the scaling dimensions and averaged OPE coefficients appearing in all correlators involving φ and φ2, for φ2 in both the singlet and symmetric traceless representations of O(n). We extend some computations to the next order, and find order-ε2 data for a number of quantities for the Ising case at n = 1. Along the way, we discuss several interesting technical aspects which arise, including subleading corrections to mixed conformal blocks, projections onto higher twists in the inversion formula, and multiplet recombination.