EPR = ER and Scattering Amplitude as Entanglement Entropy Change

Abstract

We study the causal structure of the minimal surface of the four-gluon scattering, and find a world-sheet wormhole parametrized by Mandelstam variables, thereby demonstrate the EPR = ER relation for gluon scattering. We also propose that scattering amplitude is the change of the entanglement entropy by generalizing the holographic entanglement entropy of Ryu-Takayanagi to the case where two regions are divided in space-time.

arXiv comment6 pages, 6 figures; v2: major revision, comments added in Section V, refs added, version for publication

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Cited by in corpus (13)

• Entanglement Entropy of Scattering Particles
• Holographic Schwinger effect in de Sitter space
• Variation of Entanglement Entropy in Scattering Process
• Tree-level entanglement in Quantum Electrodynamics
• Variation of entanglement entropy and mutual information in fermion-fermion scattering
• Scattering and momentum space entanglement
• Momentum correlations of scattered particles in quantum field theory: one-loop entanglement generation
• Holographic Abelian Higgs model and the Linear confinement
• Entanglement String and Spin Liquid with Holographic Duality
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• String amplitudes and mutual information in confining backgrounds: the partonic behavior
• Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3
• Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $Ad{S}_3$