Large-N QCD and the Veneziano Amplitude

TL;DR

This paper explores how large-Nc QCD scattering amplitudes for scalar mesons can be derived from Wilson loops and string theory, leading to the Veneziano amplitude under certain assumptions.

Contribution

It demonstrates a derivation of the Veneziano amplitude from large-Nc QCD using the worldline formalism and AdS/CFT correspondence, connecting gauge theory and string theory.

Findings

Scattering amplitude expressed as a sum over Wilson loops

Dominance of flat space configurations for well-separated mesons

Derivation of Veneziano amplitude under specific assumptions

Abstract

We consider four scalar mesons scattering in large-Nc QCD. Using the worldline formalism we show that the scattering amplitude can be written as a formal sum over Wilson loops. The AdS/CFT correspondence maps this sum into a sum over string worldsheets in a confining background. We then argue that for well separated mesons the sum is dominated by flat space configurations. Under additional assumptions about the dual string path integral we obtain the Veneziano amplitude.