Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series RENC-THEO
Subjects hep-th
Date Thursday 27 September 2018
Time 10:00
Institute IHP
Seminar Room 314
Speaker's Last Name Zhiboedov
Speaker's First Name Alexander
Speaker's Email Address
Speaker's Institution CERN
Title Analytic Bootstrap for Heavy Operators
Abstract 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.
arXiv Preprint Number

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