Speaker
Description
Wilson lines have a number of uses in non-abelian gauge theories. A topical example in QCD is the description of radiation in the soft or collinear limit, which must often be resummed to all orders in perturbation theory. The relevant functions needed to describe this radiation involve Wilson lines, and new methods are needed to extend such calculations beyond the state of the art.
Correlators involving a pair of Wilson lines are known to exponentiate in terms of special Feynman diagrams called “webs". I will show how this language can be extended to an arbitrary number of Wilson lines. The generalisation is highly non-trivial, and introduces novel new combinatoric structures (“web mixing matrices”) that are of interest in their own right. I will also summarise recent results obtained from applying this formalism at three-loop order, before discussing open problems and directions for future research.
