Hybrid static potentials in SU(3) lattice gauge theory at small quark-antiquark separations

2021/11/01 by Carolin Schlosser, Marc Wagner
Physics and Astronomy · #Gauge theory #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Theoretical physics #hep-lat

paper · pdf · doi:10.1103/physrevd.105.054503

31 pages, 6 figures, 9 tables

arxiv created 2021/11/01 · openalex publication_date 2022/03/07 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the Π_u and Σ_u^- hybrid static potentials in SU(3) lattice gauge theory using four different lattice spacings ranging from a = 0.040 fm to a = 0.093 fm. We provide lattice data points for quark-antiquark separations as small as 0.08 fm, where the a-dependent self-energy as well as lattice discretization errors at tree-level of perturbation theory and at leading order in a² have been removed. We also investigate and exclude possibly present systematic errors from topological freezing, due to the finite spatial lattice volume and from glueball decays. Moreover, we provide corresponding parametrizations of the potentials, which can e.g. be used for Born-Oppenheimer predictions of heavy hybrid mesons.

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