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Conformal invariance in gauge theories II. Yang–Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 76-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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The results of Part I are generalized to the non-Abelian ease. By analogy with conformal QED, in which interaction with a matter field is realized by means of a four-vector potential that transforms in accordance with a direct sum of two nonprincipal representations, the first step in the present paper is the construction of a new formulation of quantum eleetrodynamics, in which the four-vector potential is regarded as an independent variable. Although the potential as a whole transforms in accordance with a principal representation, the corresponding conformally invariant two-point functions have a nonzero transverse part, and the Lagrangian is nondegenerate. In the non-Abelian case, one manifestly conformally invariant gauge condition is found, and the corresponding functional determinant is calculated. It is shown that in the gauge-invariant sector this theory is equivalent to the ordinary theory with conformally noninvariant gauge condition. A local effective Lagrangian is constructed, the Faddeev–Popov “ghost” fields having in this case scale dimension zero. It is shown that this effective Lagrangian has a residual global supersymmetry of Becchi–Rouet–Stora type. 
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     title = {Conformal invariance in gauge theories {II.~Yang{\textendash}Mills} theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {76--88},
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     volume = {67},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a7/}
}
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R. P. Zaikov. Conformal invariance in gauge theories II. Yang–Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 76-88. http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a7/

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