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arXiv · 1104.2469

Wilson loop remainder function for null polygons in the limit of self-crossing

Harald Dorn·Sebastian Wuttke
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Abstract

The remainder function of Wilson loops for null polygons becomes divergent if two vertices approach each other. We apply RG techniques to the limiting configuration of a contour with self-intersection. As a result for the two loop remainder we find a quadratic divergence in the logarithm of the distance between the two approaching vertices. The divergence is multiplied by a factor, which is given by a pure number plus the product of two logarithms of cross-ratios characterising the conformal geometry of the self-crossing.

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Harald Dorn, Sebastian Wuttke. 2011-04-13. Wilson loop remainder function for null polygons in the limit of self-crossing. https://doi.org/10.1007/jhep05(2011)114

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