  We provide a brief summary of a method to calculate improvements to the
Veneziano Amplitude, creating sub-leading non-linearities in the Regge
trajectory of states. We formulate it as an extension of a computation by
Makeenko and Olesen. We begin in a confining gauge theory coupled to matter,
rewriting the meson scattering amplitude as a specific path integral over
shapes and sizes of closed Wilson loops using the worldline formalism. We then
prescribe how to further the computation at strong coupling by employing
holography, which provides a prescription for the expectation value of these
Wilson loops in strongly coupled regimes. We find that the problem can then be
thought of as a computation in an effective field theory of a string worldsheet
sigma model, evolving in a broad class of holographic backgrounds. A convenient
interaction picture presents itself naturally in this context, allowing us to
draw Feynman diagrams corresponding to the first few corrections due to weaker
coupling regimes. The answer we find has qualitatively the same features as
other endeavours with the same objective.
