A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges

Abstract

In this work, we study the propagators of matter fields within the framework of the Refined Gribov-Zwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the Refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the Faddeev-Popov operator is added in the matter sector. Making use of the recent BRST invariant formulation of the Gribov-Zwanziger framework achieved in [Capri et al 2016], the propagators of scalar and quark fields in the adjoint and fundamental representations of the gauge group are worked out explicitly in the linear covariant, Curci-Ferrari and maximal Abelian gauges. Whenever lattice data are available, our results exhibit good qualitative agreement.

27 pages, no figures; V2, minor modifications, to appear in EPJC

References in corpus (27)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• The QCD Running Coupling
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Coulomb gauge gluon propagator and the Gribov formula
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Covariant gauge on the lattice: a new implementation
• A local and BRST-invariant Yang-Mills theory within the Gribov horizon
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Equation of State of Gluon Plasma from Local Action
• Alternative refined Gribov-Zwanziger Lagrangian
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• 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
• The effects of Gribov copies in 2D gauge theories
• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory

Cited by in corpus (15)

• Brout-Englert-Higgs physics: From foundations to phenomenology
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
• Spectral Functions of Gauge Theories with Banks-Zaks Fixed Points
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Study of a gauge invariant local composite fermionic field
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects