6533b837fe1ef96bd12a2007
RESEARCH PRODUCT
The Nielsen identities for the two-point functions of QED and QCD
T. G. SteeleMartin LavelleJ. C. Breckenridgesubject
High Energy Physics - TheoryQuarkPhotonPhysics and Astronomy (miscellaneous)High Energy Physics::LatticeLorentz transformationNuclear TheoryFOS: Physical sciences01 natural sciencesHigh Energy Physics::Theorysymbols.namesakeIdentity (mathematics)0103 physical sciences010306 general physicsEngineering (miscellaneous)Mathematical physicsQuantum chromodynamicsPhysics010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyPropagatorGauge (firearms)GluonHigh Energy Physics - Theory (hep-th)symbolsHigh Energy Physics::Experimentdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-07-05 | Zeitschrift für Physik C Particles and Fields |