Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking

Abstract

In light of the development of the Gribov issue for pure Euclidean gauge theories and of the recent lattice measurement of soft breaking of the BRST invariance in Yang-Mills theories in the Landau gauge, we consider non-perturbative features in the gauge-interacting matter sector and their relation with general properties of the Faddeev-Popov operator. A signature for BRST breaking in the matter sector is proposed and a local and renormalizable framework is constructed, accommodating this signature and predicting non-perturbative matter propagators that are consistent with available lattice data for adjoint scalars and quarks.

arXiv comment25 pages, 3 figures

References in corpus (40)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• The Physics of Glueballs
• The Gribov problem and QCD dynamics
• 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
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• The dynamical origin of the refinement of the Gribov-Zwanziger theory
• Scaling behavior of quark propagator in full QCD
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Two-point correlation functions of QCD in the Landau gauge
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• Gribov horizon and BRST symmetry: a few remarks
• Gribov horizon and i-particles: about a toy model and the construction of physical operators
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• The Gribov horizon and spontaneous BRST symmetry breaking
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices
• Unqueched Kogut-Susskind quark propagator in Lattice Landau Gauge QCD
• A remark on the BRST symmetry in the Gribov-Zwanziger theory
• Alternative refined Gribov-Zwanziger Lagrangian
• Gluon confinement, i-particles and BRST soft breaking
• BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
• Renormalizability of a quark-gluon model with soft BRST breaking in the infrared region
• Casimir energy in the Gribov-Zwanziger approach to QCD
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Gribov gap equation at finite temperature
• Goldstone bosons and fermions in QCD
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• On the irrelevance of the Gribov issue in N=4 Super Yang-Mills in the Landau gauge
• Natural solution in the refined Gribov-Zwanziger theory

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• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
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• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
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