A Scattering Amplitude in Conformal Field Theory

Monday, 16 March, 2020

Published in: 

arXiv:2003.07361

We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as p^2 \to 0. In particular, we study a form factor F(s,t,u) obtained from a four-point function of identical scalar primary operators. We show that F is crossing symmetric, analytic and it has a partial wave expansion. We illustrate our findings in the 3d Ising model, perturbative fixed points and holographic CFTs.

Author(s): 

Marc Gillioz
Marco Meineri
Joao Penedones