Entanglement in Regge scattering using the AdS/CFT correspondence

摘要: The eikonalized parton-parton scattering amplitude at large $\sqrt{s}$ and impact parameter, is dominated by the exchange of a hyperbolic surface in walled AdS. Its analytical continuation yields world sheet instanton that origin Reggeization thermallike quantum entropy ${\mathcal{S}}_{T}$. We explicitly construct entangled density matrix following from exchanged surface, show its von-Neumann entanglement ${\mathcal{S}}_{E}$ coincides with entropy, i.e., ${\mathcal{S}}_{T}={\mathcal{S}}_{E}$. ratio to transverse growth similar Bekenstein for black hole, natural definition saturation on-set chaos high energy collisions. largest eigenvalues obey cascade equation rapidity, reminiscent nonlinear QCD evolution wee-dipoles low-x weak coupling. suggest describe probability distributions wee-quanta strong coupling maybe measurable present future pp ep colliders.