On a Wilson lines approach to the study of jet quenching

TL;DR

This paper explores the geometric structure of Wilson line correlators relevant to jet quenching, transforming Euclidean results to Minkowski space and discussing their implications for understanding parton energy loss in quark-gluon plasma.

Contribution

It introduces a Wilson lines approach to analyze jet quenching correlators, bridging Euclidean and Minkowski formulations and addressing singularity issues for potential lattice applications.

Findings

Established a consistent Euclidean to Minkowski transformation for Wilson line correlators.

Analyzed UV, rapidity, and IR singularities in the context of jet quenching.

Proposed potential for lattice simulation studies of jet quenching phenomena.

Abstract

We address the geometrical structure of the "skewed" correlator of two space-like separated (almost) oppositely directed Wilson lines. Similar objects occur in the analysis of the transverse-momentum broadening probability function, the first moment of which is associated with the jet quenching parameter. We start from the Euclidean space formulation and then transform the result to the Minkowski light-cone geometry, arguing that this procedure is consistent in the leading order of the perturbative expansion. We discuss as well the issues of the UV, rapidity and IR singularities, and possible use of the proposed approach in lattice simulations.