论文标题
Regge Ope块和轻射线操作员
Regge OPE blocks and light-ray operators
论文作者
论文摘要
我们通过采用OPE块形式主义来考虑共形场理论中操作员产品扩展(OPE)的结构。对真空作用的OPE块被提升为操作员,并在非vacuum状态下检查其含义。我们证明,OPE块在Regge限制中以轻射射线算子为主,该操作员在标量四点函数中使用时准确地重现了共形块的regge行为。在这一观察过程中,我们提出了一种新形式的OPE块,称为灯光频道OPE块,该块具有良好的膨胀,以雷格限制为主导的灯光运算符。我们还表明,这两个OPE块在Regge限制中具有相同的渐近形式,并确认了Minkowski贴片中一对长距离分离的操作员的Regge极限等同于与一对与原始Minkowski Patch相关的一对时间表分离的操作员的OPE极限。
We consider the structure of the operator product expansion (OPE) in conformal field theory by employing the OPE block formalism. The OPE block acted on the vacuum is promoted to an operator and its implications are examined on a non-vacuum state. We demonstrate that the OPE block is dominated by a light-ray operator in the Regge limit, which reproduces precisely the Regge behavior of conformal blocks when used inside scalar four-point functions. Motivated by this observation, we propose a new form of the OPE block, called the light-ray channel OPE block that has a well-behaved expansion dominated by a light-ray operator in the Regge limit. We also show that the two OPE blocks have the same asymptotic form in the Regge limit and confirm the assertion that the Regge limit of a pair of spacelike-separated operators in a Minkowski patch is equivalent to the OPE limit of a pair of timelike-separated operators associated with the original pair in a different Minkowski patch.