Equivalence of reduced, Polyakov, Faddeev-Popov, and Faddeev path-integral quantization of gauge theories

A geometrical treatment of the path integral for gauge theories with first-class constraints linear in the momenta is performed. The equivalence of reduced, Polyakov, Faddeev-Popov, and Faddeev path-integral quantization of gauge theories is established. In the process of carrying this out we find a...

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Detalles Bibliográficos
Autores: Ordóñez, C. R., Pons Ràfols, Josep Maria
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1992
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12538
Acceso en línea:https://hdl.handle.net/2445/12538
Access Level:acceso abierto
Palabra clave:Teoria quàntica de camps
Camps de galga (Física)
Relativitat especial (Física)
Quantum field theory
Gauge fields (Physics)
Special relativity (Physics)
Descripción
Sumario:A geometrical treatment of the path integral for gauge theories with first-class constraints linear in the momenta is performed. The equivalence of reduced, Polyakov, Faddeev-Popov, and Faddeev path-integral quantization of gauge theories is established. In the process of carrying this out we find a modified version of the original Faddeev-Popov formula which is derived under much more general conditions than the usual one. Throughout this paper we emphasize the fact that we only make use of the information contained in the action for the system, and of the natural geometrical structures derived from it.