An operator approach to Gauss's law in Yang-Mills theory and quantum chromodynamics

Date of Completion

January 1997


Physics, Elementary Particles and High Energy




We construct a transformation that transforms perturbative states into states that implement Gauss's law for 'pure glue' QCD and use a unitary transformation to extend this construction to QCD with both quarks and gluons. We use the mathematical apparatus developed in the course of this work to construct gauge-invariant spinor (quark) and gauge (gluon) field operators. We also adapt our SU(3) construction to the SU(2) Yang-Mills case because the simplicity of the SU(2) structure constants enables us to gain a better understanding of the gauge-invariant operator-valued fields. ^