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Analytic bootstrap of mixed correlators in the O(n) CFT
oleh: Francesco Bertucci, Johan Henriksson, Brian McPeak
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2022-10-01 |
Deskripsi
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.