Asymptotic Freedom for Holographic Energy Correlators

TL;DR

This paper models a holographic gauge theory with asymptotic freedom and confinement, calculating energy correlators that show decay at small angles and exponential falloff at back-to-back configurations, extending holographic techniques.

Contribution

It introduces a novel interpolating geometry with a running coupling to compute energy correlators in a holographic model with asymptotic freedom.

Findings

Energy correlator decays at small angular separation due to running coupling.

Back-to-back correlator exhibits exponential falloff similar to hard-wall models.

Numerical shockwave profiles are used to analyze correlators in the interpolating geometry.

Abstract

We calculate energy correlators in a holographic model incorporating elements of asymptotic freedom and confinement. We model a running coupling by considering a geometry with a warp factor that deviates logarithmically from anti-de Sitter (AdS). A novel aspect of our bulk metric is that it smoothly interpolates between a Randall-Sundrum solution with a hard wall and a geometry corresponding to a logarithmic running typical of gauge theories. By studying shockwave deformations of this metric, we compute a two-point energy correlator assuming a high-energy scalar source. This extends techniques recently developed for correlators in asymptotically AdS geometries. We use numerical methods to find the profile of shockwaves along the extra dimension, as it does not admit an analytical form. The running coupling leads to a decay of the two-point correlator at small angular separation, unlike the flat correlator one finds in AdS. In the back-to-back limit we observe an exponential falloff similar to other hard-wall models.