Holographic Energy Correlators for Soft Walls

TL;DR

This paper develops a general method using shockwaves in holographic models to compute energy correlators, revealing how different confinement dynamics influence observable energy distributions.

Contribution

It extends shockwave techniques to arbitrary warped geometries in holography, enabling analysis of diverse confinement models beyond the minimal hard-wall setup.

Findings

Energy correlators vary significantly between models with different infrared spectra.

The formalism applies to models with gapped continuum and linear Regge trajectories.

Results show confining dynamics shape the energy correlator profiles.

Abstract

We calculate energy correlators in a general holographic model of confinement, involving an asymptotically anti-de Sitter (AdS) warped extra dimension. Building on a recent computation in a minimal hard-wall model of confinement, we show that the shockwave method for efficiently computing energy correlators in AdS generalizes to an arbitrary warped geometry. This is possible because exact, linear shockwave solutions to the 5D field equations exist in any warped background. We apply our formalism to compute the two-point energy correlator for two simple models of confinement with interesting infrared spectra -- one with a gapped continuum spectrum and one with linear Regge trajectories. The results differ from the simple hard-wall model and from each other, demonstrating that the details of the confining dynamics affect the shape of the energy correlator observables.