Propagation of Fermions in A(0)=0 Gauge.
Abstract
In A sub 0=0 gauge in QED, the WardTakahashi identity implies the nonpropagation of the Fermi field (psi). This is shown to be a valid conclusion, both by using functional integration and by perturbation theory. Since Green's functions are gauge dependent, this does not, however, imply the immobility of spin  1/2 fields. Two types of composite fields are exhibited for which the field psi is dressed with longitudinal, nonobservable photons. For these fields, no implications about their propagators can be drawn from the WT identity, which for these fields is trivially zero. It is shown by functional integration and by perturbation theory that these fields can propagate, and interact with the photon field with the usual P 1/sq K sub 0 factor of A sub 0=0 gauge.
 Publication:

Ph.D. Thesis
 Pub Date:
 February 1979
 Bibcode:
 1979PhDT........22C
 Keywords:

 Physics: Elementary Particles and High Energy;
 Fermions;
 Field Theory (Physics);
 Gauge Invariance;
 Perturbation Theory;
 Quantum Electrodynamics;
 Green'S Functions;
 Identities;
 Photons;
 SpinOrbit Interactions;
 Nuclear and HighEnergy Physics