Geodesic
Weyl connection, non-Abelian gauge field, and torsion
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 429-434

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It is shown that the congruent transport introduced by Weyl in 1921 determines a non-Abelian gauge field. The simplest gaugeinvariant equations of this field are proposed. Its connection with torsion is discussed. 
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     author = {B. M. Barbashov and A. B. Pestov},
     title = {Weyl connection, {non-Abelian} gauge field, and torsion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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B. M. Barbashov; A. B. Pestov. Weyl connection, non-Abelian gauge field, and torsion. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 429-434. http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a3/