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Ismail Zahed

September 16, 2020 //  by Riva Kraizelman

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When:
September 29, 2020 @ 4:00 pm – 5:00 pm
2020-09-29T16:00:00+03:00
2020-09-29T17:00:00+03:00
Neve Shalom
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.
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Category: Neve Shalom

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