The light-ray OPE and conformal colliders
The light-ray OPE and conformal colliders
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DOI：
10.1007/jhep01(2021)128
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发表时间：
2019-05
影响因子：
5.4
通讯作者：
Murat Koloğlu;P. Kravchuk;D. Simmons-Duffin;A. Zhiboedov
中科院分区：
文献类型：
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作者：
Murat Koloğlu;P. Kravchuk;D. Simmons-Duffin;A. Zhiboedov
我们得到了一个非微扰的，收敛的零积分算子在同一零平面上的CFT的算子乘积展开（OPE）。展开式中出现的对象是光线算符，其矩阵元可以由广义洛伦兹反演公式计算。例如，平均零能量（ANEC）算子的乘积在出现在应力张量OPE中的光线算子中具有展开。一个重要的应用是碰撞事件形状。光线OPE给出了一个非微扰展开的事件形状的特殊功能，我们称之为天体块。作为一个例子，我们将天体块展开应用于= 4的超杨-米尔斯理论中的能量-能量转换器。使用已知的OPE数据，我们发现在弱耦合和强耦合与以前的结果完全一致，并通过4个环（NNNLO）弱耦合作出新的预测。
We derive a nonperturbative, convergent operator product expansion (OPE) for null-integrated operators on the same null plane in a CFT. The objects appearing in the expansion are light-ray operators, whose matrix elements can be computed by the generalized Lorentzian inversion formula. For example, a product of average null energy (ANEC) operators has an expansion in the light-ray operators that appear in the stress-tensor OPE. An important application is to collider event shapes. The light-ray OPE gives a nonperturbative expansion for event shapes in special functions that we call celestial blocks. As an example, we apply the celestial block expansion to energy-energy correlators in= 4 Super Yang-Mills theory. Using known OPE data, we find perfect agreement with previous results both at weak and strong coupling, and make new predictions at weak coupling through 4 loops (NNNLO).