Journal of High Energy Physics (Oct 2022)

Analytic bootstrap of mixed correlators in the O(n) CFT

  • Francesco Bertucci,
  • Johan Henriksson,
  • Brian McPeak

DOI
https://doi.org/10.1007/JHEP10(2022)104
Journal volume & issue
Vol. 2022, no. 10
pp. 1 – 78

Abstract

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Abstract 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 the operators φ and φ 2, for φ 2 in both the singlet and symmetric traceless representations of O(n). We extend some computations to the next order, and find order-ϵ 2 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.

Keywords