Entanglement in scattering and the S-matrix bootstrap

Abstract: I will talk about how relative entropy, a concept in quantum information theory to distinguish two density matrices, behaves in 2-2 scattering in quantum field theory, string theory, chiral perturbation theory and the numerical S-matrix bootstrap. In the context of massive quantum field theories, I will derive high energy bounds on relative entropy as well as study the Regge behavior. Then I will turn to the S-matrix bootstrap. I will give a broad overview of what this program is about and how to constrain pion scattering with it. Here, some insight from relative entropy will prove to be handy to constrain the space of S-matrices. I will discuss some ideas based on minimization of total scattering cross-section to constrain pion S-matrices further; curious coincidences such as boundary of allowed S-matrices being close to the Lovelace-Shapiro model of early string theory, emerging linear Regge trajectories, as well as reduction in Entanglement power near the standard model point will be discussed.

HEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

( video )

Purdue HET

Series comments: The recorded talks will be available on YouTube here: www.youtube.com/playlist?list=PLxU3vHZccQj64m9zsQR74D5WP1z1g4t1J