RT Journal Article T1 Semiperturbative construction for the quark-gluon vertex A1 Llanes Estrada, Felipe José A1 Fischer, CS A1 Alkofer, R AB We construct a model for the quark-gluon vertex of Landau gauge QCD. This is of twofold interest: on the one hand the quark-gluon interaction is at the heart of quark confinement, on the other hand it is a central element in hadron phenomenology based on QCD Greens functions. We employ the non-Abelian one-loop diagram in perturbation theory, which is of order N-c. As a novelty we replace the tree-level quark and gluon propagators in this diagram by their dressed counterparts solving the Dyson-Schwinger equations. The N.-suppressed Abelian diagram is an order of magnitude smaller in various kinematics. We also study the effect of ghost dressing factors on the vertex obtaining a construction in good agreement with recent low-momentum lattice calculations. PB Elsevier Science Bv SN 0920-5632 YR 2006 FD 2006-02 LK https://hdl.handle.net/20.500.14352/50839 UL https://hdl.handle.net/20.500.14352/50839 LA eng NO 1. R. Alkofer and L. von Smekal, Phys. Rept. 353 (2001) 281 [arXiv:hep-ph/0007355].2. P.O. Bowman et al., arXiv:hep-lat/0402032.3. C. S. Fischer and R. Alkofer, Phys. Rev. D 67 (2003) 094020 [arXiv:hep-ph/0301094].4. C. S. Fischer, F. Llanes-Estrada and R. Alkofer, arXiv:hep-ph/0407294.5. A. I. Davydychev, P. Osland and L. Saks, Phys. Rev. D 63 (2001) 0140226. J. Skullerud and A. Kizilersu, JHEP 0209 (2002) 013 [arXiv:hep-ph/0205318].7. J.I. Skullerud, P. O. Bowman, A. Kizilersu, D. B. Leinweber and A. G. Williams, JHEP 0304 (2003) 047 [arXiv:hep-ph/0303176].8. M. S. Bhagwat, A. Holl, A. Krassnigg, C. D. Roberts and P. C. Tandy, arXiv:nuclth/ 0403012.9. M. S. Bhagwat and P. C. Tandy, arXiv:hepph/ 0407163.10. R. Alkofer, W. Detmold, C. S. Fischer and P. Maris, Phys. Rev. D 70 (2004) [arXiv:hepph/ 0309077].11. A. P. Szczepaniak and E. S. Swanson, Phys. Rev. D 65 (2002) 025012 [arXiv:hepph/ 0107078]; D. Zwanziger, arXiv:hepph/ 0312254; C. Feuchter and H. Reinhardt, arXiv:hep-th/0402106; id. work in preparation.12. W. J. Marciano and H. Pagels, Phys. Rept. 36 (1978) 137; E. Eichten and F. Feinberg, Phys. Rev. D 10 (1974) 3254. NO © 2005 Publish by Elsevier B.V.We thank M. Bhagwat, C. D. Roberts and P. Tandy for valuable discussions. The lattice data in figure 2 are a courtesy of the authors of [7]. F. L. E. thanks the hospitality of the Tiibingen Institute as well as a DAAD stipendium and Univ. Complutense travel grant. Partial support from grants FPA 2000-0956, BFM 2002-01003 (MCYT, Spain), Al 279/3-4, Fi 970/2-1, and GRK683 (DFG, Germany) NO MCYT, Spain NO DFG, Germany DS Docta Complutense RD 15 may 2024