AI 中文总结
该研究在与半BPS威尔逊线对偶的AdS₂世界面量子场论框架下,通过分析SO(6)/SO(5)对称性相关算符的两点函数,结合单圈图计算和维数正规化,得到了轫致辐射函数的强耦合修正。
AI 中文摘要
我们研究与𝒩=4超杨-米尔斯的半BPS威尔逊线对偶的基本弦的AdS₂世界面上的量子场论。我们考虑了最近提出的、围绕AdS₂极小曲面的规范固定弦涨落拉格朗日量,并聚焦于非线性实现的SO(6)/SO(5)对称性。相关倾斜算符的边界两点函数(其归一化系数与轫致辐射函数成正比)可通过边界算符展开与破缺对称性的诺特定流的体两点函数关联起来。我们计算了对定流关联函数有贡献的单圈图,讨论了维数正规化的作用,并直接从AdS₂世界面量子场论中得到了轫致辐射函数的已知强耦合修正。
英文摘要
We study quantum field theory on the AdS$_2$ worldsheet of the fundamental string dual to the half-BPS Wilson line of $\mathcal{N}=4$ super Yang-Mills. We consider a recently proposed gauge-fixed string fluctuation Lagrangian around the AdS$_2$ minimal surface, and focus on the nonlinearly realized $SO(6)/SO(5)$ symmetry. The boundary two-point function of the associated tilt operators, whose normalization coefficient is proportional the Bremsstrahlung function, can be related to the bulk two-point function of the broken-symmetry Noether current through the boundary operator expansion. We evaluate the one-loop diagrams contributing to the current correlator, discussing the role of dimensional regularization and recovering the known strong-coupling correction to the Bremsstrahlung function directly from AdS$_2$ worldsheet quantum field theory.
Comments40 pages