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

Journal of High Energy Physics

Regular Article - Theoretical Physics

Brian McPeak¹  Francesco Bertucci¹  Johan Henriksson¹ 

[1] Università di Pisa and INFN, sezione di Pisa, Pisa, Italy;

关键词: Scale and Conformal Symmetries;    Conformal and W Symmetry;    Global Symmetries;   

DOI  :  10.1007/JHEP10(2022)104

 received in 2022-08-15, accepted in 2022-10-02,  发布年份 2022

来源: Springer

【 摘 要 】

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 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.

【 授权许可】

Unknown   
© The Author(s) 2022

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