A String-theoretic model for Strong Interactions

In this project, we aimed to derive the meson mass spectrum from a model that relies on holographic quantum chromodynamics. In particular, we were interested in studying how the meson masses vary with a geometric parameter δ. We derived eigenvalues from differential equations appropriate to scalar and vector mesons and found that the smallest eight eigenvalues of the vector equation exhibit a positive correlation with δ. The result for the scalar eigenvalues was the same except for the smallest eigenvalue. We corroborated this anomaly using perturbation analysis and found an agreement. Additionally, our findings for the extreme condition, corresponding to δ = 0, agree with known results.