Geodesic
Furry theorem for non-abelian gauge Lagrangians
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 3, pp. 344-349

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It is shown that in a gauge-invariant Lagrangian (without $\gamma^5$-anomalies) based on an irreducible representation of simple compact Lie algebras it is always possible to define an operation of $C$-parity with respect to which the Lagrangian is invariant. This imposes certain requirements on the algebraic structure of the vertex functions. 
@article{TMF_1982_50_3_a2,
     author = {N. V. Smolyakov},
     title = {Furry theorem for non-abelian gauge {Lagrangians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {344--349},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_50_3_a2/}
}
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N. V. Smolyakov. Furry theorem for non-abelian gauge Lagrangians. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 3, pp. 344-349. http://geodesic.mathdoc.fr/item/TMF_1982_50_3_a2/