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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

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.