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

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

Francesco Bertucci
(
- Pisa U. and
- INFN, Pisa
)
,
Johan Henriksson
(
- Pisa U. and
- INFN, Pisa
)
,
Brian McPeak
(
- Pisa U. and
- INFN, Pisa
)

May 18, 2022

82 pages

Published in:

JHEP 10 (2022) 104

Published: Oct 17, 2022

e-Print:

2205.09132 [hep-th]

DOI:

10.1007/JHEP10(2022)104

View in:

reference search15 citations

Citations per year

Abstract: (Springer)

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.

Note:

83pp

Scale and Conformal Symmetries
Conformal and W Symmetry
Global Symmetries
field theory: conformal
scaling: dimension
correlation function
conformal block
operator product expansion
recombination
bootstrap

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