Quantization of anomalous gauge theories

"We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of the restoration of the frrst-class nature of the gauge constraints. We applied this technique in a few quantut;n field theories like the chiral Schwinger model, chiral bosons and massive electrodynamics. This construction of the WZT is intended to contrast with the one derived by functional methods with the use of the Faddeev-Popov trick. To shed some light into the physical significance of the WZ field we discuss a simple quantum mechanical model, the ""amputated planar rotor"". In this context the WZ field present itself as a topological charge for the model. Possible generalizations are discussed."

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Wotzasek, Clovis Jose

Contributors dc:contributor

• Kogut, John B.

• Anomalous Gauge Theories (AGT)
• functional integration
• canonical Hamiltonian approach
• Wess-Zumino term (WZT)

Statement dc:rights

• 1990 Clovis Jose Wotzasek

Language dc:language

en

Identifier

3473909

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23873