Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-08-13
PoS LATTICE2008:130,2008
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 4 figures, A mistake in the momentum scale in the domain wall fermion mass parameter is corrected and references upda
Scientific paper
I calculate the quark-gluon vertex of the tensor type $\Gamma(p,q)=g_3(p,q)p_4 \Slash{\Vec q}$, vector type $g_2(p,q)\Vec q$ and scalar type $g_1(p,q)$, for a small spacial momentum transfer $q=\bf q$ 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 hyper-cubic space has small fluctuation and I use this propagator in the evaluation of the operators by applying the non-perturbative renormalization method. The $q$ dependence of the running coupling $\alpha_{s,g_1}(q)$ is compared with $\alpha_I(q)$ measured by the ghost-gluon vertex in Coulomb gauge and $\alpha_s(q)$ measured in Landau gauge.
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