On the Landau Background Gauge Fixing and the IR Properties of YM Green Functions

Abstract

We analyse the complete algebraic structure of the background field method for Yang--Mills theory in the Landau gauge and show several structural simplifications within this approach. In particular we present a new way to study the IR behavior of Green functions in the Landau gauge and show that there exists a unique Green function whose IR behaviour controls the IR properties of the gluon and the ghost propagators.

LaTex, 27 pp., 2 figures

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• Quark gap equation with non-abelian Ball-Chiu vertex
• Indirect determination of the Kugo-Ojima function from lattice data
• Renormalization group analysis of the gluon mass equation
• Scale-setting, flavour dependence and chiral symmetry restoration
• Positivity violations in QCD
• Gluon mass generation in the massless bound-state formalism
• Evidence of ghost suppression in gluon mass dynamics
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Gluon mass scale through nonlinearities and vertex interplay
• Gluon mass generation in the presence of dynamical quarks
• A Massive Yang-Mills Theory based on the Nonlinearly Realized Gauge Group
• More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)
• AntiBRST symmetry and Background Field Method
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Nonperturbative gluon and ghost propagators for d=3 Yang-Mills
• QCD effective charge from the three-gluon vertex of the background-field method
• Slavnov-Taylor constraints for non-trivial backgrounds
• Gauge copies in the Landau-DeWitt gauge: a background invariant restriction
• Resolving the instability of the Savvidy vacuum by dynamical gluon mass
• Canonical Transformations and Renormalization Group Invariance in the presence of Non-trivial Backgrounds
• Gribov's horizon and the ghost dressing function
• Gluon mass scale through the Schwinger mechanism
• A two-component picture of the <A^2> condensate with instantons
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Canonical Flow in the Space of Gauge Parameters
• Non-perturbative QCD effective charges
• Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Quantum gravity and matter fields in a general background gauge