Kostov Ivan, Petkova Valentina B, Serban Didina
Institut de Physique Théorique, DRF-INP 3681, C.E.A.-Saclay, F-91191 Gif-sur-Yvette, France.
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria.
Phys Rev Lett. 2019 Jun 14;122(23):231601. doi: 10.1103/PhysRevLett.122.231601.
We present a closed expression for the octagon form factor which appears as a building block in a class of four-point correlation functions in N=4 supersymmetric Yang-Mills theory considered recently by Coronado. The octagon form factor is expressed, to all loop orders, as the determinant of a semi-infinite matrix. We find that perturbatively at weak coupling the entries of this matrix are linear combinations of ladder functions with simple rational coefficients.
我们给出了八边形形状因子的一个封闭表达式，它是科罗纳多最近考虑的(N = 4)超对称杨 - 米尔斯理论中一类四点关联函数的构建模块。八边形形状因子在所有圈阶下都表示为一个半无限矩阵的行列式。我们发现，在弱耦合微扰下，该矩阵的元素是具有简单有理系数的阶梯函数的线性组合。
