The purpose of this work is to use the spinor helicity technique in conjunction with supersymmetry to generate tree-level supersymmetric Ward identities for component fields in the pure gauge sector of a supersymmetric non-Abelian vector field. Using the operator formalism with supersymmetric transformations, relations are found among processes containing different numbers of gluinos. Explicit calculations are made for the four-point functions as a demonstration of this approach. To further separate these relations, off-shell calculations are made from which a diagrammatic algorithm is derived. This algorithm is shown to reproduce the standard relations among processes. Explicit calculations using the algorithm are then presented for the four-point functions. In addition, the algorithm is shown to separate the standard relations into subsets of identities.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.27320 |
| Date | January 1996 |
| Creators | Gallant, Colin B. |
| Contributors | Lam, H. (advisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001555763, proquestno: MQ29695, Theses scanned by UMI/ProQuest. |
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