The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates

Abstract

The infrared behavior of the gluon and ghost propagators is studied in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge within the Gribov-Zwanziger framework. The nonperturbative effects associated with the Gribov copies and with the dimension two condensates are simultaneously encoded into a local and renormalizable Lagrangian. The resulting behavior turns out to be in good agreement with the lattice data.

arXiv commentfinal version, to appear in Physical Review D

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• Spontaneous Breaking of Lorentz Symmetry by Ghost Condensation in Perturbative Quantum Gravity
• On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
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• Gribov ambiguities at the Landau -- maximal Abelian interpolating gauge
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• Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)${}_3$ Landau Gauge
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• A study of the lightest glueball states in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge
• Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge
• Yang-Mills theory in the maximal Abelian gauge in presence of scalar matter fields
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• Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
• Renormalizability of the center-vortex free sector of Yang-Mills theory
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• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
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• On the renormalization of a generalized supersymmetric version of the maximal Abelian gauge
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• On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge
• Detection of monopoles and vortices in SU(2) Yang-Mills theory
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• On BRST-Related Symmetries in the FLPR Model with Gribov Ambiguities
• Supersymmetric generalization of the maximal Abelian gauge
• Study of the all orders multiplicative renormalizability of a local matter confining Gribov-Zwanziger action in the MAG