Spectrum of very excited ?g+ flux tubes in SU(3) gauge theory

Spectra with full towers of levels are expected due to the quantization string vibrations, however different theoretical models exist for excitation spectra. First principle computations important test and search novel phenomena, but so far only a few excited states QCD flux tubes have been studied pure gauge SU(3) lattice in 3+1 dimensions. We thus aim study spectrum static quark antiquark sources up significant number excitations. specialize on most symmetric case, namely $\Sigma_g^+$, where two already published literature. To achieve highest possible level, we construct large set operators correct symmetry, solve generalized eigenvalue problem compare results actions spacings anisotropies.