This article is cited in 3 papers

The full gluon propagator in light-cone gauge and the transversality problem of the polarization operator in infrared region. II

L. G. Vachnadze, N. A. Kiknadze, K. Sh. Turashvili, A. A. Khelashvili

Tbilisi Ivane Javakhishvili State University

Abstract: A three-gluon vertex that depends on a gauge vectorn $n_\mu$ and is free of kinematic and spurion $(np)^{-1}$ singularities in the physical region is constructed. It is shown that in the case of integer power-law asymptotic behavior of the gluon propagator there is separation of the singular contributions of the single- and two-loop diagrams in the Dyson–Schwinger equation. Necessary conditions for realization of $p^{-4}$ asymptotic behavior are obtained, and it is shown that an important role in their fulfillment is played by the parts of the three-gluon vertex that depend on the gauge vector. A solution of these conditions is found; when they are fulfilled, they lead to infrared asymptotic behaviors of the complete Dyson–Schwinger equation and its single-loop approximation that are mutually compatible.

Received: 30.03.1993

 English version: Theoretical and Mathematical Physics, 1994, 100:1, 811–818

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