### A study of quark-gluon vertices using the lattice Coulomb gauge domain wall fermionA study of quark-gluon vertices using the lattice Coulomb gauge domain wall fermion

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 Author Furui, Sadataka Source arXiv.org Content type Text File Format PDF Date of Submission 2008-08-13 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Lattice ♦ physics:hep-lat Abstract 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. Description Reference: PoS LATTICE2008:130,2008 Educational Use Research Learning Resource Type Article Page Count 7