Quantum mechanics of null polygonal Wilson loops
| Autor: | Sergey E. Derkachov, Alexander N. Manashov, Andrei Belitsky |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Physics
High Energy Physics - Theory Work (thermodynamics) Nuclear and High Energy Physics 010308 nuclear & particles physics Null (mathematics) ddc:530 Separation of variables FOS: Physical sciences Eigenfunction 530 Physik 01 natural sciences Scattering amplitude High Energy Physics - Theory (hep-th) Supersymmetric gauge theory Quantum mechanics 0103 physical sciences Operator product expansion 010306 general physics Eigenvalues and eigenvectors |
| Zdroj: | Nuclear Physics B |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/j.nuclphysb.2014.03.007 |
| Popis: | 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-Wison loops and prove their factorized form suggested earlier. Comment: 51 pages, 15 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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