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

Apr, 2011
13 pages
Published in:
  • JHEP 05 (2011) 114
e-Print:
Report number:
  • HU-EP-11-18

Citations per year

201120142017202020232301
Abstract: (arXiv)
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.
  • Duality in Gauge Field Theories
  • Renormalization Group
  • AdS-CFT Correspondence
  • geometry: conformal
  • Wilson loop
  • renormalization group
  • regularization: dimensional
  • regularization: point splitting
  • gauge field theory: Yang-Mills: supersymmetry
  • crossing