Speaker
Description
The study of large-$N$ Yang-Mills theories is theoretically interesting because of the many mathematical simplifications that appear when the rank of the gauge group goes to infinity, and the dynamics of such theories is conjectured to be key to tackle other open problems such as the confinement mechanism. We report on the advancements in our efforts to compute the Glueball and Meson spectra in the 't Hooft limit of $SU(N)$ Yang-Mills theory. We employ a 2-level sampling algorithm for the computation of glueball correlators between operators corresponding to spatial Wilson loops at different levels of (APE) smearing. The Multilevel approach allows to mitigate the signal-to-noise-ratio problem in the long time separation region and produce more stable and recognizable plateaux. We also report on the results for the meson spectrum, introducing in our basis operators with overlap on spin $> 1$ states.