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.

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

References in corpus (2)

• Gluon scattering amplitudes at strong coupling
• On the exact solution of the accelerating string in $Ad{S}_5$ space

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