Glueball scattering amplitudes from holography -: art. no. 037

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 ties 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.