Power Divergences in Overlapping Wilson Lines

TL;DR

This paper investigates the divergence structure of Wilson line operators with overlapping segments, using the cyclic Wilson loop as an example, and demonstrates how power divergences can be exponentiated and factorized.

Contribution

It introduces a method to analyze and factorize power divergences in overlapping Wilson lines using the generalized exponentiation theorem.

Findings

Power divergences can be exponentiated and factorized for certain loop combinations.

The cyclic Wilson loop serves as a key example for divergence analysis.

The approach clarifies divergence structure in overlapping Wilson line operators.

Abstract

We discuss the divergence structure of Wilson line operators with partially overlapping segments on the basis of the cyclic Wilson loop as an explicit example. The generalized exponentiation theorem is used to show the exponentiation and factorization of power divergences for certain linear combinations of associated loop functions.