GAUGE INVARIANT QUARK TWO POINT GREEN'S FUNCTION THROUGH CONNECTOR INSERTION TO O (alpha-s)
Jun, 1983Citations per year
Abstract: (Springer)
We use perturbative QCD in conjunction with Mandelstam’s path dependence formalism to evaluate explicit expressions for the quark two-point Green’s function in momentum space. In doing this we discuss in detail the mechanism of gauge invariance restoration and the regularization of path divergences. We calculate the renormalization constants of the colour connector and the quark connector hybrid and show that they satisfy the Slavnov-Taylor identities. Our results coincide at least toO(αs) with those obtained previously by other authors within thez-field formalism. We interpret this agreement as a justification of the basic identity underlying thez-field algorithm.- QUANTUM CHROMODYNAMICS: PERTURBATION THEORY
- MANDELSTAM REPRESENTATION
- QUARK: PROPAGATOR
- INVARIANCE: GAUGE
- RENORMALIZATION: REGULARIZATION
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