Quantum mechanics of null polygonal Wilson loops
Quantum mechanics of null polygonal Wilson loops
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零多边形威尔逊环的量子力学
DOI：
10.1016/j.nuclphysb.2014.03.007
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Manashov
中科院分区：
文献类型：
--
作者：
A. Belitsky;S. Derkachov;A. Manashov
在极大超对称规范理论中，散射幅度是零多边形等高线上的对偶到超威尔逊环。后者的算符乘积展开式揭示了它们的动力学受多粒子GKP激发演化的支配。它们被证明是从一个潜在的开放自旋链的光谱问题中出现的。在这项工作中，我们借助Baxter Q算子和Sklyanin的分离变量方法来求解该模型。我们给出了GKP激励的本征函数和本征值的显式构造。我们证明了前者是如何在超Wilson环中定义所谓的多粒子六边形跃迁的，并证明了它们的因式分解形式是在前面在一般情况下提出的保粒子数跃迁的t Hooft耦合的前序。
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.
影响因子：
5.4
作者：
L. Mason;David Skinner
通讯作者：
L. Mason;David Skinner