扭动二运算子异常维数中微小旋奇异性重求和
Resummation of small-spin singularities in anomalous dimensions of twist-two operators
AI总结：
研究通过重求和扭动二运算子异常维数中的微小旋奇异性，揭示其与共形Regge理论及QCD探测运算子的联系。
摘要：
QCD中主导扭动运算子的异常维数在高能过程的精确预测中起重要作用，因为它们控制着部分子分布的尺度演化。其作为旋函数的解析结构尤其重要，由于更高环计算的复杂性。在这些会议论文中，我们讨论了某种特定类型的此类奇异性重求和，这些奇异性与QCD夸克味非单态部分有共同特征。我们的主要关注点是Gross-Neveu-Yukawa模型在ε展开中的相互作用与Gross-Neveu模型在1/N展开中的相互作用。这种重求和允许预测更高环奇异性行为，并揭示与共形Regge理论以及QCD和各种共形场论中探测运算子最近研究之间的联系。
英文摘要：
Anomalous dimensions of leading-twist operators in QCD play an important role in precision predictions for high-energy processes, since they govern the scale evolution of parton distributions. Their analytic structure as a function of spin is particularly important due to the complexity of higher-loop computations. In these proceedings, we discuss the resummation of the certain type of such singularities that share common features with those appearing in the quark flavor-nonsinglet sector of QCD. Our main focus is on the interplay between Gross-Neveu-Yukawa model in $ε$ expansion and Gross-Neveu in $1/N$ expansion. Such resummation allows one to predict the higher-loop singular behavior and reveals connections with the conformal Regge theory and recent studies of detector operators in QCD and various conformal field theories.
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