论文标题
在Aharonov-bohm通量管的绿色功能上
On the Green function for an Aharonov-Bohm flux tube
论文作者
论文摘要
在存在带有局部磁通量的圆锥形奇异性的情况下，自由复合体标量场的绿色功能的早期轮廓表达显示，该表达式在与共形场理论中与单乳不足缺陷有关的磁场相关器和缺陷块扩展产生表达。绿色功能作为Appell $ F_1 $函数的PICARD积分表示。证明这将转换为汇合的喇叭函数，对应于不同的缺陷块膨胀。讨论了其他转换。
An earlier contour expression for the Green function of a free complex scalar field in the presence of a conical singularity with localised magnetic flux is shown to yield expressions for the field correlator and defect block expansions that have been more recently found in connection with monodromy defects in conformal field theory. The Green function appears as the Picard integral representation of the Appell $F_1$ function. This is shown to transform into a confluent Horn function, corresponding to a different defect block expansion. Other transformations are discussed.
