Orateur
Johan Henriksson
(University of Pisa)
Description
The Lorentzian inversion formula is a powerful tool for understanding the dynamical data of conformal field theories, specifically it can be used to extract conformal data of spinning operators from singularities of the four-point function in Lorentzian signature.
In this lecture I aim to ``demystify'' the inversion formula by giving a concrete and explicit application of it to the Wilson--Fisher fixed-point in the $\epsilon$ expansion of $\phi^4$ theory (Ising CFT). I will also discuss how it can be used to study general $\phi^p$ theories near their upper critical dimensions, including the non-unitary case for odd $p$.
