Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
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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