The Classical Relativistic Quark Model in the Rest-Frame Wigner-Covariant Coulomb Gauge

Details The Classical Relativistic Quark Model in the Rest-Frame Wigner-Covariant Coulomb Gauge The Classical Relativistic Quark Model in the Rest-Frame Wigner-Covariant Coulomb Gauge

1997-05-21

arxiv.org/abs/hep-th/9705156v1

Int.J.Mod.Phys. A13 (1998) 3275-3346

Physics

High Energy Physics

High Energy Physics - Theory

81 pages, RevTeX

Scientific paper

10.1142/S0217751X98001645

The system of N scalar particles with Grassmann-valued color charges 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 both for 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.

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