ar X iv : 0 70 9 . 28 04 v 3 [ he p - ph ] 1 9 N ov 2 00 7 1 Color antisymmetric ghost propagator and the one loop vertex renormalization
نویسنده
چکیده
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 ghost and one gluon and a loop consisting of two color antisymmetric ghost and one gluon. Consequently the pQCD argument in the infrared region based on the one particle irreducible diagram should be modified. Consequences in the Kugo-Ojima color confinement and the QCD running coupling are discussed.
منابع مشابه
ar X iv : 0 70 9 . 28 04 v 1 [ he p - ph ] 1 8 Se p 20 07 1 Color anti - symetric ghost propagator and the one loop vertex renormalization
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 ghost and one gluon and a loop consisting of two color antisymmetric ghost and one gluon. Consequently the pQCD argument ...
متن کاملColor antisymmetric ghost propagator and the one loop vertex renormalization
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 ghost and one gluon and a loop consisting of two color antisymmetric ghost and one gluon. Consequently the pQCD argument ...
متن کاملar X iv : 0 80 8 . 17 96 v 2 [ he p - la t ] 1 J un 2 00 9 A study of quark - gluon vertices using the lattice Coulomb gauge domain wall fermion
I calculate the quark-gluon vertex of the tensor type Γ(p,q) = g3(p,q)p4 / q, vector type g2(p,q)q and scalar type g1(p,q), for a small spacial momentum transfer q = q using the gauge configuration of the Domain Wall Fermion (DWF) provided by the RBC-UKQCD collaboration. The quark propagator of Coulomb gauge in the cylinder cut, i.e. the four momentum p is directed along the diagonal of the hyp...
متن کاملThe Color Antisymmetric Ghost Propagator and One-Loop Vertex Renormalization
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 ar...
متن کاملar X iv : h ep - p h / 06 05 07 7 v 1 8 M ay 2 00 6 One loop gluon form factor and freezing of α s in the Gribov - Zwanziger QCD Lagrangian
We use the Gribov-Zwanziger Lagrangian in QCD to evaluate the one loop correction to the gluon propagator as a function of the Gribov volume and verify that the propagator vanishes in the infrared limit. Using the corresponding correction to the Faddeev-Popov ghost propagator we construct the renormalization group invariant coupling constant, α eff S (p 2), from the gluon and ghost form factors...
متن کامل