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Separation of Variables for a flux tube with an end
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-06-16 , DOI: 10.1016/j.nuclphysb.2020.115093
A.V. Belitsky

We consider a partial light-cone limit of a correlation function of the stress-tensor multiplet and identify an integrable structure emerging at one loop order of perturbation theory. It corresponds to a noncompact open spin chain with one boundary being recoil-less while the other one fully dynamical. We solve the system by means of techniques of the Baxter operator and Separation of Variables. The eigenvalues of the separated variables define rapidities of excitations propagating on the color flux tube and encode their factorizable dynamics in the presence of a dynamical boundary.



中文翻译:

带有末端的通量管的变量分离

我们考虑了应力张量多重态的相关函数的局部光锥极限,并确定了以微扰理论的一个循环级出现的可积结构。它对应于一条非紧实的自旋链,其中一个边界无反冲力,而另一边界则完全动态。我们通过Baxter运算符和变量分离技术解决该系统。分离变量的特征值定义了在色通量管上传播的激发的速度,并在存在动态边界的情况下对它们的可分解动力学进行编码。

更新日期:2020-06-18
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