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

Journal Article · Fri May 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.3706· OSTI ID:7235558

Ordonez, C R ^[1]; Pons, J M ^[2]

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1. Theory Group, Department of Physics, University of Texas, Austin, Texas 78712 (United States)
2. Center for Relativity, Department of Physics, University of Texas, Austin, Texas 78712 (United States)

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.

• OSTI ID: 7235558
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
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Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
METRICS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
YANG-MILLS THEORY