On a Wilson lines approach to the study of jet quenching

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.

v1: 6 pages, no figures; v2: 7 pages, 1 eps figure, comparison with other methods added, references updated; v3: 11 pages, version accepted to Eur. Phys. J. C

References in corpus (8)

• Parton Physics on Euclidean Lattice
• Calculating the Jet Quenching Parameter from AdS/CFT
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
• SCET, Light-Cone Gauge and the T-Wilson Lines
• Soft gluon resummation in the quark-vector boson vertex at high energy: On-mass-shell case

Cited by in corpus (8)

• A lattice study of the jet quenching parameter
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Investigating jet quenching on the lattice
• On Geometric Scaling of Light-Like Wilson Polygons: Higher Orders in ${\alpha }_s$
• Piecewise Linear Wilson lines
• Fréchet derivative for light-like Wilson Loops
• Working With Wilson Lines
• A new approach to piecewise linear Wilson lines