This article is cited in 1 paper

On the relation between quantum propagators and geometrical parallel transport

G. A. Vilkovyskii


Abstract: 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.

Received: 23.03.1972

 English version: Theoretical and Mathematical Physics, 1973, 16:1, 694–701