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One loop gluon form factor and freezing of alpha_s in the Gribov-Zwanziger QCD Lagrangian

Gracey, J.A. (2006) One loop gluon form factor and freezing of alpha_s in the Gribov-Zwanziger QCD Lagrangian. Journal of High Energy Physics (5). Article Number: 052. ISSN 1029-8479

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Abstract

We use the Gribov-Zwanziger Lagrangian in QCD to evaluate the one loop correction to the gluon propagator as a function of the Gribov volume and verify that the propagator vanishes in the infrared limit. Using the corresponding correction to the Faddeev-Popov ghost propagator we construct the renormalization group invariant coupling constant, alpha^eff_S(p^2), from the gluon and ghost form factors and verify, using the Gribov mass gap condition, that it freezes out at zero momentum to a non-zero value. This is qualitatively consistent with other approaches. We also show that there is an enhancement of the propagator of one of the Zwanziger ghosts at two loops similar to that which occurs for the Faddeev-Popov ghosts. From the exact evaluation of the form factors we examine power corrections for the gluon propagator and the effective coupling. We find that both have the same qualitative behaviour in that the leading power correction is O(1/p^2) and not O(1/(p^2)^2).

Item Type:Article
Additional Information:LTH-702; arXiv Number: arXiv:hep-ph/0605077v1. 35 pages. Published 18 May 2006. Issue: May 2006.
Uncontrolled Keywords:Renormalization Regularization and Renormalons; Confinement; QCD; LATTICE GAUGE-THEORY; DYSON-SCHWINGER EQUATIONS; DYNAMICAL MASS GENERATION; LANDAU GAUGE; POWER CORRECTIONS; ANOMALOUS DIMENSIONS; INFRARED BEHAVIOR; COUPLING-CONSTANT; CRITICAL LIMIT; LOW ENERGIES
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1088/1126-6708/2006/05/052
Publisher's Statement:Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:
Refereed:Yes
Status:Published
ID Code:106
Deposited On:10 Oct 2007 16:05
Last Modified:20 May 2011 19:30

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