论文标题
运营商产品扩展的形式因素
An Operator Product Expansion for Form Factors
论文作者
论文摘要
我们建议在$ \ Mathcal {n} = 4 $ sym理论中为本地运营商的平面形式扩展产品扩展。这种扩展基于这些对象的双包对称性，或者等效地，在周期性的威尔逊循环方面，其双重描述的共形对称性。形态被分解为一系列已知的五角大楼跃迁和我们称为“形式因子跃迁”的新通用对象。这种过渡受到一组非平凡的自举约束，我们希望这足以充分确定它。我们评估了在扰动理论领先顺序的压力张量超拟张者手性张量的MHV形式的外形因素转变，并使用它以任何环路顺序产生OPE预测。我们将单循环和两环预测与文献中的数据匹配。
We propose an operator product expansion for planar form factors of local operators in $\mathcal{N}=4$ SYM theory. This expansion is based on the dual conformal symmetry of these objects or, equivalently, the conformal symmetry of their dual description in terms of periodic Wilson loops. A form factor is decomposed into a sequence of known pentagon transitions and a new universal object that we call the "form factor transition". This transition is subject to a set of non-trivial bootstrap constraints, which we expect to be sufficient to fully determine it. We evaluate the form factor transition for MHV form factors of the chiral half of the stress tensor supermultiplet at leading order in perturbation theory and use it to produce OPE predictions at any loop order. We match the one-loop and two-loop predictions with data available in the literature.
