1997/05/21 by David Alba, Luca Lusanna · 1 citation
Physics and Astronomy · #Classical mechanics #Color charge #Color confinement #Cosmology and Gravitation Theories #Covariant transformation #Equations of motion #Gauge boson #Gauge fixing #Gauge theory #Gluon #Mathematical physics #Particle physics #Physics #Quantum Mechanics and Applications #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Relativity and Gravitational Theory #Rest frame #hep-th
paper · pdf · doi:10.1142/s0217751x98001645
published as Int.J.Mod.Phys.A13:3275-3346,1998 · 81 pages, RevTeX
arxiv created 1997/05/21 · openalex publication_date 1998/07/30 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The system of N scalar particles with Grassman-valued color changes plus the color SU(3) Yang–Mills field is reformulated on spacelike hypersurfaces. The Dirac observables are found and the physical invariant mass of the system in the Wigner-covariant rest frame instant form of dynamics (covariant Coulomb gauge) is given. From the reduced Hamilton equations we extract the second order equations of motion for both the reduced transverse color field and the particles. Then we study this relativistic scalar quark model, deduced from the classical QCD Lagrangian and with the color field present, in the N=2 (meson) case. A special form of the requirement of having only color singlets, suited for a field-independent quark model, produces a "pseudoclassical asymptotic freedom" and a regularization of the quark self-energy.