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

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

Automated summary

This study aims to explore the excitation spectra of QCD flux tubes using pure gauge SU(3) lattice QCD, by testing different theoretical models and searching for novel phenomena. By constructing a large set of operators with correct symmetry, solving the generalized eigenvalue problem, and comparing results from different lattice QCD gauge actions and parameters, the study seeks to achieve the highest possible excitation level.