论文标题

Wilson循环,用于带圆形边缘的三角形轮廓

Wilson loops for triangular contours with circular edges

论文作者

Dorn, Harald

论文摘要

我们针对边缘为圆弧的三角形轮廓以最低的扰动理论计算威尔逊循环。基于对轮廓的度量和共形参数之间关系的适当分离,结果完全符合由异常的保形病房身份预测的结构。共形剩余函数取决于三个尖端和三个扭转角的通用4D情况。详细讨论了轮廓结束对这些角度的限制以及3D和2D中的案例。

We calculate Wilson loops in lowest order of perturbation theory for triangular contours whose edges are circular arcs. Based on a suitable disentanglement of the relations between metrical and conformal parameters of the contours, the result fits perfectly in the structure predicted by the anomalous conformal Ward identity. The conformal remainder function depends in the generic 4D case on three cusp and on three torsion angles. The restrictions on these angles imposed by the closing of the contour are discussed in detail and also for cases in 3D and 2D.

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