Geodesic
On the relation between quantum propagators and geometrical parallel transport
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 90-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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The operation of parallel transport is used to find a continual (functional) representation of the Green's functions of tensor and spinor wave equations in an external gravitational field and external Yang–Mills field. A functional is obtained that corresponds to the operator of covariant differentiation for tensors of arbitrary rank. 
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G. A. Vilkovyskii. On the relation between quantum propagators and geometrical parallel transport. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 90-99. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a9/

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