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• W2984920476 abstract "We solve crossing equations analytically in the deep Euclidean regime. Large scaling dimension $Delta$ tails of the weighted spectral density of primary operators of given spin in one channel are matched to the Euclidean OPE data in the other channel. Subleading $1over Delta$ tails are systematically captured by including more operators in the Euclidean OPE in the dual channel. We use dispersion relations for conformal partial waves in the complex $Delta$ plane, the Lorentzian inversion formula and complex tauberian theorems to derive this result. We check our formulas in a few examples (for CFTs and scattering amplitudes) and find perfect agreement. Moreover, in these examples we observe that the large $Delta$ expansion works very well already for small $Delta sim 1$. We make predictions for the 3d Ising model. Our analysis of dispersion relations via complex tauberian theorems is very general and could be useful in many other contexts." @default.
• W2984920476 created "2019-11-22" @default.
• W2984920476 creator A5022232479 @default.
• W2984920476 creator A5043932167 @default.
• W2984920476 date "2019-10-01" @default.
• W2984920476 modified "2023-10-12" @default.
• W2984920476 title "Analytic Euclidean bootstrap" @default.
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• W2984920476 doi "https://doi.org/10.1007/jhep10(2019)270" @default.
• W2984920476 hasPublicationYear "2019" @default.
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