Faddeev, L.D.; Popov, V.N.; Feynman Diagrams for the Yang-Mills Field
Phys. Lett. 25B (1967) 29;
Feynman and De Witt showed that the rules must be changed for the calculation of contributions from diagrams with closed loops in the theory of gauge invariant fields. They suggested also a specific recipe for the case of one loop. In this letter we propose a simple method for calculation of the contribution from arbitrary diagrams. The method of Feynman functional integration is used.
Related references See also C. N. Yang and R. L. Mills, Phys. Rev. 96 (1954) 191;
R. Utiyama, Phys. Rev. 101 (1956) 1597;
B. S. de Witt, Relativity, groups and topology. Blackie and Son Ltd (1964) 587;
R. P. Feynman, Phys. Rev. 80 (1950) 440;
R. P. Feynman, Acta Phys. Polon. 24 (1963) 697;
M. Gell-Mann and S. L. Glashow, Ann.Phys. 15 (1961) 437;
Faddeev-Popov method for construction of Feynman rules for Yang-Mills type of gauge theories.