The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions

Abstract

In previous works, we have constructed a refined version of the Gribov-Zwanziger action in 4 dimensions, by taking into account a novel dynamical effect. In this paper, we explore the 3-dimensional case. Analogously as in 4 dimensions, we obtain a ghost propagator behaving like $1/p^2$ in the infrared, while the gluon propagator reaches a finite nonvanishing value at zero momentum. Simultaneously, a clear violation of positivity by the gluon propagator is also found. This behaviour of the propagators turns out be in agreement with the recent numerical simulations.

arXiv comment26 pages, 16 .eps figures. v3: version accepted for publication in Phys Rev D

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• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Relating Gribov-Zwanziger theory to effective Yang-Mills theory
• Alternative refined Gribov-Zwanziger Lagrangian
• The generalised infrared structure of the gluon propagator
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Gluon confinement, i-particles and BRST soft breaking
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• The effects of Gribov copies in 2D gauge theories
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• More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)
• Symmetry breaking, conformal geometry and gauge invariance
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Some exact properties of the gluon propagator
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
• On Non-Commutative U*(1) Gauge Models and Renormalizability
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Nonperturbative gluon and ghost propagators for d=3 Yang-Mills
• Goldstone bosons and fermions in QCD
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• On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
• On bounds and boundary conditions in the continuum Landau gauge
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• Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)${}_3$ Landau Gauge
• Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
• Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Counting Gribov copies
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Unraveling the organization of the QCD tapestry
• Spontaneous breaking of the BRST symmetry in presence of the Gribov horizon: renormalizability
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• The analytic structure of three-point functions from contour deformations
• The infrared fixed point of Landau gauge Yang-Mills theory: A renormalization group analysis
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Gribov copies and anomalous scaling
• Low momentum propagators at two loops in gluon mass model
• Confinement & Chiral Symmetry Breaking: The fundamental problems of hadron physics
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Describing gluons at zero and finite temperature
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory