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Infrared behaviour of gluon and ghost propagators in QCD in the Landau gauge

2007/03/14 by P. O. Fedosenko, Fedosenko, P. O.
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research #Cold Atom Physics and Bose-Einstein Condensates

paper · pdf · doi:10.48550/arxiv.hep-th/0703130

Abstract

Non-perturbative formalism of the generalized effective action is used for deriving the Schwinger-Dyson equations. In order to clear the domain of integration in the functional integral from gauge copies a restriction to the Gribov horizon due to Zwanziger is implemented. In this approach an asymptotic behaviour of gluon propagator and propagator of the Faddeev-Popov ghosts at small momenta is studied. Such a behaviour is obtained as a result of solving coupled Schwinger-Dyson equations in zeroth and first-order approximation. The qualitative agreement of these results with the ones obtained before is demonstrated and quantitative difference in some coeffcients is found.

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