Quantum mechanics of null polygonal Wilson loops

Belitsky, A. V. and Derkachov, S. E. and Manashov, A. N. (2014) Quantum mechanics of null polygonal Wilson loops. NUCLEAR PHYSICS B, 882. pp. 303-351. ISSN 0550-3213, 1873-1562

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Abstract

Scattering amplitudes in maximally supersymmetric gauge theory are dual to super-Wilson loops on null polygonal contours. The operator product expansion for the latter revealed that their dynamics is governed by the evolution of multiparticle GKP excitations. They were shown to emerge from the spectral problem of an underlying open spin chain. In this work we solve this model with the help of the Baxter Q-operator and Sklyanin's Separation of Variables methods. We provide an explicit construction for eigenfunctions and eigenvalues of GKP excitations. We demonstrate how the former define the so-called multiparticle hexagon transitions in super-Wilson loops and prove their factorized form at leading order of 't Hooft coupling for particle number-preserving transitions that were suggested earlier in a generic case. (C) 2014 The Authors. Published by Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 11 Nov 2019 14:53
Last Modified: 11 Nov 2019 14:53
URI: https://pred.uni-regensburg.de/id/eprint/10236

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