The Color Antisymmetric Ghost Propagator and One-Loop Vertex Renormalization

Details The Color Antisymmetric Ghost Propagator and One-Loop Vertex Renormalization The Color Antisymmetric Ghost Propagator and One-Loop Vertex Renormalization

2007-09-18

arxiv.org/abs/0709.2804v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 20 figures, typos corrected, version to be published in Prog. Theor. Phys. vol.119, No. 1

Scientific paper

10.1143/PTP.119.149

The color matrix elements of the ghost triangle diagram that appears in the triple gluon vertex and the ghost-ghost-gluon triangle diagram that appears in the ghost-gluon-ghost vertex are calculated. The ghost-ghost-gluon triangle contains a loop consisting of two color diagonal ghosts and one gluon and a loop consisting of two color antisymmetric ghosts and one gluon. Consequently, the pQCD argument in the infrared region based on the one particle irreducible diagram should be modified. Implications for the Kugo-Ojima color confinement and the QCD running coupling are discussed.

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