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1992

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12538

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

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http://dx.doi.org/10.1103/PhysRevD.45.3706

Abstract

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.

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Teoria quàntica de camps, Camps de galga (Física), Relativitat especial (Física)

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Quantum field theory, Gauge fields (Physics), Special relativity (Physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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ORDÓÑEZ, C. R. and PONS RÀFOLS, Josep Maria. Equivalence of reduced, Polyakov, Faddeev-Popov, and Faddeev path-integral quantization of gauge theories. Physical Review D. 1992. Vol. 45, num. 10, pags. 3706-3712. ISSN 0556-2821. [consulted: 7 of June of 2026]. Available at: https://hdl.handle.net/2445/12538

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