Generating function for web diagrams

TL;DR

This paper introduces a generating function approach to exponentiate web diagrams in gauge theories, generalizing existing concepts and providing a new perspective on non-Abelian exponentiation of amplitudes involving Wilson lines.

Contribution

It presents a novel generating function method for web diagrams, extending the non-Abelian exponentiation theorem to arbitrary shapes and numbers of Wilson lines.

Findings

Demonstrates the exponentiation of gauge theory amplitudes with multiple Wilson lines

Provides a new diagrammatic technique based on generating functions

Generalizes web diagrams beyond previous limitations

Abstract

We present the description of the exponentiated diagrams in terms of generating function within the universal diagrammatic technique. In particular, we show the exponentiation of the gauge theory amplitudes involving products of an arbitrary number of Wilson lines of arbitrary shapes, which generalizes the concept of web diagrams. The presented method gives a new viewpoint on the web diagrams and proves the non-Abelian exponentiation theorem.