Entanglement in Reggeized Scattering using AdS/CFT

Abstract

The eikonalized parton-parton scattering amplitude at large $\sqrt{s}$ 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 ${\mathcal{S}}_T$. We explicitly construct the entangled density matrix following from the exchanged surface, and show that its von-Neumann entanglement entropy ${\mathcal{S}}_E$ coincides with the thermal-like entropy, i.e. ${\mathcal{S}}_T={\mathcal{S}}_E$. 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 pp and ep colliders.

10 pages, 8 figures

References in corpus (10)

• Black holes as mirrors: quantum information in random subsystems
• The Pomeron and Gauge/String Duality
• Deep inelastic scattering as a probe of entanglement
• Thermal excitation spectrum from entanglement in an expanding quantum string
• Classical and quantum entropy of parton distributions
• Dynamical entropy of dense QCD states
• The holographic dual of a Hawking pair has a wormhole
• Regimes of the Pomeron and its Intrinsic Entropy
• High Energy Bounds on Soft N=4 SYM Amplitudes from AdS/CFT
• Interplay of Reggeon and photon in pA collisions

Cited by in corpus (16)

• Entanglement, partial set of measurements, and diagonality of the density matrix in the parton model
• High energy QCD: multiplicity distribution and entanglement entropy
• Rapidity evolution of the entanglement entropy in quarkonium: parton and string duality
• Electroproduction of heavy vector mesons using holographic QCD: from near threshold to high energy regimes
• Entanglement in a holographic Schwinger pair with confinement
• Entanglement in massive Schwinger model at finite temperature and density
• Entanglement entropy and flow in two dimensional QCD: parton and string duality
• Spatial entanglement in two dimensional QCD: Renyi and Ryu-Takayanagi entropies
• Multiplicity distribution of dipoles in QCD from Le, Mueller and Munier equation
• Quantum Entanglement and the Thermal Hadron
• 1+1D Hadrons Minimize their Biparton Renyi Free Energy
• Quantum entanglement between partons in a strongly coupled quantum field theory
• Holographic Odderon at TOTEM ?
• Rapidity-Dependent Spin Decomposition of the Nucleon
• Butterflies dragging the jets: on the chaotic nature of holographic QCD
• Entanglement, Trace Anomaly and Confinement in QCD