Ismail Zahed

Title:Reggeized scattering, entanglement and chaos using AdS/CFT

ABSTRACT:The eikonalized parton-parton scattering amplitude at large energy and 

large impact parameter, is dominated by the exchange of a hyperbolic surface in  

walled AdS. Its analytical continuation yields a worldsheet instanton that is 

at the origin of the Reggeization of the amplitude and a thermal-like 

quantum entropy. I will  construct the entangled density matrix following from the

 exchanged surface, and show that its von-Neumann entanglement entropy 

coincides with its thermal-like entropy.  The ratio of the entanglement entropy 

to the transverse growth of the exchanged surface is similar to the Bekenstein 

entropy ratio  for a black-hole, with a natural definition of saturation 

and the on-set of chaos in high energy collisions.  The largest  eigenvalues 

of the entangled density matrix obey a cascade equation in rapidity, 

reminiscent of non-linear QCD evolution of wee-dipoles  

at low-x and weak coupling.  We suggest that the largest eigenvalues  

describe the probability distributions of wee-quanta at low-x 

and strong coupling that maybe measurable at present and future  hadron-hadron 

and lepton- hadron colliders.