Renormalization Problems in Model Field Theories.
Abstract
A particular choice for the structure of the axial vector current in terms of renormalized composite operators leads to relations among Feynman amplitudes that are not of the usual Ward identity type. A formalism is developed to generalize the BPHZ method to allow for subtractions made in the invariant variables rather than the four momenta and to generalize the relations so that the amplitudes involved are at least partially on the mass shell. The renormalization of gauge theories without the introduction of regulators is investigated. For a particular nonabelian model that rettains an overall global symmetry after spontaneous symmetry breaking, the Slavnov identity can be established on the renormalized theory thus insuring the gauge invariance of the Smatrix.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........77M
 Keywords:

 Physics: Elementary Particles and High Energy;
 Field Theory (Physics);
 Normalizing (Statistics);
 Quantum Statistics;
 Fermions;
 Feynman Diagrams;
 Gauge Invariance;
 Matrix Theory;
 Atomic and Molecular Physics