Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 27 Septembre 2018
Heure 10:00
Institut IHP
Salle 314
Nom de l'orateur Zhiboedov
Prenom de l'orateur Alexander
Addresse email de l'orateur
Institution de l'orateur CERN
Titre Analytic Bootstrap for Heavy Operators
Résumé We solve conformal crossing equations analytically for heavy operators. 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 1/\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 ~ 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.
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