Jet Physics from Static Charges in AdS

TL;DR

This paper investigates the behavior of high-energy jets in gauge theories by modeling them as static charges in Euclidean AdS space, introducing a conformal gauge to simplify calculations and reveal new properties of Wilson lines.

Contribution

The paper introduces a conformal gauge that simplifies Wilson line calculations and demonstrates how jet interactions can be understood through static charges in AdS space.

Findings

Certain non-planar Wilson line graphs vanish.

The imaginary potential energy grows linearly with separation.

Wilson line diagrams relate to Witten diagrams.

Abstract

Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static charges in Euclidean AdS. The anomalous dimension of the corresponding Wilson line operator is then determined by the potential energy of the charges. To study these Wilson lines we introduce a "conformal gauge" which does not have kinetic mixing between radial and angular directions, and show that a number of properties of Wilson lines are reproduced through relatively simple calculations. For example, certain non-planar graphs involving multiple Wilson lines automatically vanish. We also discuss the linear growth of the charges' imaginary potential energy with separation, and a relationship between Wilson line diagrams and Witten diagrams.