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The Feynman integral for singular Lagrangians. (English. Russian original) Zbl 1183.81090

Theor. Math. Phys. 1, No. 1, 1-13 (1969); translation from Teor. Mat. Fiz. 1, No. 1, 3-18 (1969).
Summary: A generalization is obtained for the continual Feynman integral, adapted for the quantization of a mechanical system describable by a singular Lagrangian. As an example, the quantization of the Yang-Mills field is considered.

MSC:

81S10 Geometry and quantization, symplectic methods
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
81T13 Yang-Mills and other gauge theories in quantum field theory
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References:

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