1994/07/05 by J. C. Breckenridge, M. J. Lavelle, T. G. Steele · 2 citations
Physics and Astronomy · #Gauge (firearms) #Gauge theory #Gluon #Identity (music) #Lorentz transformation #Particle physics theoretical and experimental studies #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #hep-th
paper · pdf · doi:10.1007/bf01571316
published as Z.Phys. C65 (1995) 155-164 · 25 pages, plain TeX, 4 figures available upon request, MZ-TH/94-09
arxiv created 1994/07/05 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider the Nielsen identities for the two-point functions of full QCD and QED in the class of Lorentz gauges. For pedagogical reasons the identities are first derived in QED to demonstrate the gauge independence of the photon self-energy, and of the electron mass shell. In QCD we derive the general identity and hence the identities for the quark, gluon and ghost propagators. The explicit contributions to the gluon and ghost identities are calculated to one-loop order, and then we show that the quark identity requires that in on-shell schemes the quark mass renormalisation must be gauge independent. Furthermore, we obtain formal solutions for the gluon self-energy and ghost propagator in terms of the gauge dependence of other, independent Green functions.