Glueball Scattering Amplitudes from Holography

TL;DR

This paper computes glueball scattering amplitudes in N=1 SYM theory using holographic techniques, providing detailed predictions for glueball decays based on a gravity dual model.

Contribution

It introduces a method to calculate three-glueball scattering amplitudes from holographic RG flows, specifically applying it to the GPPZ flow in N=1 SYM.

Findings

Calculated three-glueball scattering amplitudes.

Provided numerical results for low-lying glueballs.

Predicted glueball decay processes in N=1 SYM.

Abstract

Using techniques developed in a previous paper three-point functions in field theories described by holographic renormalization group flows are computed. We consider a system of one active scalar and one inert scalar coupled to gravity. For the GPPZ flow, their dual operators create states that are interpreted as glueballs of the N=1 SYM theory, which lies at the infrared end of the renormalization group flow. The scattering amplitudes for three-glueball processes are calculated providing precise predictions for glueball decays in N=1 SYM theory. Numerical results for low-lying glueballs are included.