Dirac's Observables for the SU(3)XSU(2)XU(1) Standard Model

Abstract

The complete, missing, Hamiltonian treatment of the standard SU(3)xSU(2)xU(1) model with Grassmann-valued fermion fields in the Higgs phase is given. We bypass the complications of the Hamiltonian theory in the Higgs phase, resulting from the spontaneous symmetry breaking with the Higgs mechanism, by studying the Hamiltonian formulation of the Higgs phase for the gauge equivalent Lagrangian in the unitary gauge. A canonical basis of Dirac's observables is found and the reduced physical Hamiltonian is evaluated. Its self-energy part is nonlocal for the electromagnetic and strong interactions, but local for the weak ones. Therefore, the Fermi 4-fermion interaction reappears at the nonperturbative level.

90 pages, RevTeX, no figures

References in corpus (3)

• The Lienard-Wiechert Potential of Charged Scalar Particles and their Relation to Scalar Electrodynamics in the Rest-Frame Instant Form
• The Classical Relativistic Quark Model in the Rest-Frame Wigner-Covariant Coulomb Gauge
• The Standard Model of Electroweak Interactions

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• Dirac Fields on Spacelike Hypersurfaces, Their Rest-Frame Description and Dirac Observables
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• Exact Space-Time Gauge Symmetry of Gravity, Its Couplings and Approximate Internal Symmetries in a Total-Unified Model