TOTAL GLUON PROPAGATOR IN LIGHT-CONE GAUGE AND THE TRANSVERSALITY PROBLEM OF THE POLARIZATION OPERATOR IN THE INFRARED REGION .2.

Citation
Lg. Vachnadze et al., TOTAL GLUON PROPAGATOR IN LIGHT-CONE GAUGE AND THE TRANSVERSALITY PROBLEM OF THE POLARIZATION OPERATOR IN THE INFRARED REGION .2., Theoretical and mathematical physics, 100(1), 1994, pp. 811-818
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
100
Issue
1
Year of publication
1994
Pages
811 - 818
Database
ISI
SICI code
0040-5779(1994)100:1<811:TGPILG>2.0.ZU;2-9
Abstract
A three-gluon vertex that depends on a gauge vector np 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 asympt otic behavior of the gluon propagator there is separation of the singu lar contributions of the single- and two-loop diagrams iri the Dyson-S chwinger equation. Necessary conditions for realization of p(-4) asymp totic behavior are obtained, and it is shown that an important role in their fulfillment is played by the parts of the three-gluon vertex th at 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 approxim ation that are mutually compatible.