Geodesic
Toward a Theory of Non-Abelian Tensor Fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 321-343

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We present a triangulation-independent area-ordering prescription that naturally generalizes the well-known path-ordering prescription. For such a prescription, it is natural that the two-form “connection” carries three “color” indices rather than two, as is the case with the ordinary one-form gauge connection. To define this prescription, we must define exponentiation of a matrix with three indices. The definition uses the fusion-rule structure constants.
Keywords: quantum field theory, non-Abelian tensor fields. 
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     author = {E. T. Akhmedov},
     title = {Toward a {Theory} of {Non-Abelian} {Tensor} {Fields}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a1/}
}
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E. T. Akhmedov. Toward a Theory of Non-Abelian Tensor Fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 3, pp. 321-343. http://geodesic.mathdoc.fr/item/TMF_2005_145_3_a1/