EEC-hedron：能量关联函数的正性界
The EEC-Hedron: Positivity Bounds on Energy Correlators
AI总结：
该研究提出EEC-hedron，利用能量正性约束一般幺正量子场论，在3d伊辛模型和O(2) CFT中得到算子乘积展开系数的新界。
AI中文摘要：
我们研究能量正性对一般幺正量子场论施加的约束，证明能量-能量关联函数分波展开的所有系数必须位于参数空间的有界区域内，该区域被称为“EEC-hedron”。对于共形场理论（CFT），能量关联函数的这些正性约束会导出算子乘积展开（OPE）系数允许值的界。我们在3d伊辛模型和O(2) CFT中演示该方法，得到两种理论中OPE系数的新界。
英文摘要：
We study the constraints placed by energy positivity on general unitary quantum field theories. We show that the coefficients in the partial wave expansion of energy-energy correlators all must lie within a bounded region of parameter space, which we call the ``EEC-hedron''. For the particular case of conformal field theories, these positivity constraints on energy correlators lead to bounds on the allowed values of coefficients in the operator product expansion. We demonstrate this approach in the 3d Ising and $O(2)$ CFTs, deriving new bounds on OPE coefficients in both theories.
