Eight spectra of very excited flux tubes in $SU(3)$ gauge theory

Abstract

We compute the spectra of flux tubes formed between a static quark antiquark pair up to a significant number of excitations and for eight symmetries of the flux tubes, up to ${\Delta }_u$, using pure $SU(3)$ gauge lattice QCD in $3+1$ dimensions. To accomplish this goal, we use a large set of appropriate operators, an anisotropic tadpole improved action, smearing techniques, and solve a generalized eigenvalue problem. Moreover, we compare our results with the Nambu-Goto string model to evaluate possible tensions which could be a signal for novel phenomena.

Comments: 9 pages, 16 figures, 2 tables, Submitted contribution to the proceedings of "The 39th International Symposium on Lattice Field Theory (Lattice 2022)", 8th - 13th August, 2022, Hörsaalzentrum Poppelsdorf, University of Bonn, Bonn, Germany