AI 中文总结
该研究探究洛伦兹号差下共形线缺陷的类光Wilson线尖点行为，提出其有限大boost极限的相关结论，分析尖点的解析延拓并给出正性约束，通过微扰示例验证预测并探讨对规范理论的意义。
AI 中文摘要
类光Wilson线尖点是Sudakov双对数的基础，也是规范理论因式分解的核心要素。我们探究洛伦兹号差下共形线缺陷的一般行为会被什么取代。我们认为，当缺陷允许局域端点算符存在时，尖点反常维度存在由对应缺陷产生算符的标度维度确定的有限大 boost 极限。我们进一步分析尖点的不同解析延拓，阐明其物理解释，并对洛伦兹尖点反常维度提出正性约束。我们在包括钉扎场缺陷和自旋杂质在内的多个微扰示例中检验这些预测，并讨论其对规范理论的潜在意义。
英文摘要
The lightlike Wilson line cusp underlies the Sudakov double logarithm and is a central ingredient in gauge-theory factorization. We ask what replaces this behavior for general conformal line defects in Lorentzian signature. We argue that, when the defects admit local endpoint operators, the cusp anomalous dimension has a finite large-boost limit fixed by the scaling dimensions of the corresponding defect-creation operators. We further analyze the distinct analytic continuations of the cusp, elucidate their physical interpretations, and derive a positivity condition on the Lorentzian cusp anomalous dimension. We test these predictions in several perturbative examples, including pinning-field defects and spin impurities, and discuss their possible implications for gauge theories.
Comments62 pages, 6 figures v2: included derivation of positivity condition, references added
