Feynman Rules for the Yang-Mills Field: A Canonical-Quantization Approach. II
- 15 August 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 4 (4) , 1007-1017
- https://doi.org/10.1103/physrevd.4.1007
Abstract
The purpose of the present paper is to suggest noncovariant Feynman rules for the Yang-Mills field in the radiation gauge, to all orders with any number of loops using the methods of canonical quantization. It is shown that even though the interaction Hamiltonian in the radiation gauge has an infinite number of terms, the Feynman rules contain the usual three-vector and four-vector vertices, and a vector-scalar-scalar vertex, along with one propagator for the gauge particle and another propagator for the fictitious scalar particle. The fictitious particle, however, appears only within loops, and the scalar loop has an extra factor (-2) relative to the corresponding vector loop.Keywords
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