2020/05/31 by Wei Li, Yinglong Wang, Ying-Long Wang +3
Mathematics · Physics and Astronomy · #Bethe–Salpeter equation #Black Holes and Theoretical Physics #Coulomb #Feynman diagram #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Geometry #Gluon #Lorenz gauge condition #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-020-8319-6
published as Eur. Phys. J. C 80 (2020) 721 · 13 pages, 2 figures
arxiv created 2020/06/25 · openalex publication_date 2020/08/01 · arxiv updated 2021/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We solved the instantaneous Bethe–Salpeter equation for heavy pseudoscalars in different kernels, where the kernels are obtained using linear scalar potential plus one gluon exchange vector potentials in Feynman gauge, Landau gauge, Coulomb gauge and time-component Coulomb gauge. Since we cannot give a complete QCD-based calculation, the results are gauge dependent. We compared the obtained mass spectra of heavy pseudoscalars between different kernels, found that using the same parameters we obtain the smallest mass splitting in time-component Coulomb gauge, the similar largest mass splitting in Feynman and Coulomb gauges, middle size splitting in Landau gauge.