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What the infrared behavior of QCD vertex functions in Landau gauge can tell us about confinement

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Llanes Estrada, Felipe José and Alkofer, R. and Fischer, C. S. and Schwenzer, K. (2007) What the infrared behavior of QCD vertex functions in Landau gauge can tell us about confinement. International Journal of Modern Physics E, 16 (9). pp. 2720-2732. ISSN 0218-3013

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Official URL: http://dx.doi.org/10.1142/S0218301307008367




Abstract

The infrared behavior of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson-Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dressed quark-gluon vertex. The selfconsistent mechanism that generates these singularities necessarily entails the scalar Dirac amplitudes of the full vertex and the quark propagator. These can only be present when chiral symmetry is broken, either explicitly or dynamically.


Item Type:Article
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© World Scientific Publishing Company
R. Alkofer Alkofer thanks the organizers of X Hadron Physics 2007 for inviting him to give a seminar at this extraordinarily interesting workshop. This work has been supported in part by the DFG under contract AL 279/5-1 and by the FWF under contract M979-N16.
Hadron Physics Workshop (10. 2007. Florianopolis, Brasil)

Uncontrolled Keywords:Dyson-Schwinger Equations, Yang-Mills Theory, Renormalization, Propagators, Physics, Gluon, Field
Subjects:Sciences > Physics
ID Code:23026
Deposited On:07 Oct 2013 18:08
Last Modified:20 Apr 2018 18:39

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