论文标题
弱耦合场理论中的探测器
Detectors in weakly-coupled field theories
论文作者
论文摘要
我们在弱耦合的现场理论中启动了渐近探测器算子的研究。这些操作员描述了可以在对撞机实验中在未来无效无穷大的情况下执行的测量值。在保形理论中，它们可以用光射线运算符来识别，因此与该理论的谱系有直接关系。在对基本物理图的一般讨论之后，我们展示了如何在扰动理论中重新归一化的通用探测器运算符的红外差异，以及它们如何引起探测器异常维度。我们详细讨论了如何在发生非平凡混合的regge轨迹的交叉点上进行这种重新归一化，这与特殊旋转值的异常尺寸中的极点相关。最后，我们讨论了标量理论中的新水平轨迹，并展示了它们如何对相关函数做出贡献。我们的计算是在$ d = 4-ε$ dimensions中的$ ϕ^4 $理论的示例中完成的，但是这些方法更广泛地适用。在Wilson-Fisher固定点，我们的结果包括两个循环的Pomeron Light-Ray操作员的明确表达，以及对Regge截距在五个回路时的值的预测。
We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a collider experiment. In a conformal theory they can be identified with light-ray operators, and thus have a direct relation to the spectrum of the theory. After a general discussion of the underlying physical picture, we show how infrared divergences of general detector operators can be renormalized in perturbation theory, and how they give rise to detector anomalous dimensions. We discuss in detail how this renormalization can be performed at the intersections of the Regge trajectories where non-trivial mixing occurs, which is related to the poles in anomalous dimensions at special values of spin. Finally, we discuss novel horizontal trajectories in scalar theories and show how they contribute to correlation functions. Our calculations are done in the example of $ϕ^4$ theory in $d=4-ε$ dimensions, but the methods are applicable more broadly. At the Wilson-Fisher fixed point our results include an explicit expression for the Pomeron light-ray operator at two loops, as well as a prediction for the value of the Regge intercept at five loops.
