Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
arXiv:1705.03812 · doi:10.1016/j.aop.2017.10.003
Abstract
Beyond perturbation theory the number of gauge copies drastically increases due to the Gribov-Singer ambiguity. Any way of treating them defines, in principle, a new, non-perturbative gauge, and the gauge-dependent correlation functions can vary between them. Herein various such gauges will be constructed as completions of the Landau gauge inside the first Gribov region. The dependence of the propagators and the running coupling on these gauges will be studied for SU(2) Yang-Mills theory in two, three, and four dimensions using lattice gauge theory, and for a wide range of lattice parameters. While the gluon propagator is rather insensitive to the choice, the ghost propagator and the running coupling show a stronger dependence. It is also found that the influence of lattice artifacts is larger than in minimal Landau gauge.
arXiv comment44 pages, 21 figures, 1 table, minor changes, version to appear in Annals of Physics
References in corpus (74)
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- Aspects of the Functional Renormalisation Group
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Infrared Properties of QCD from Dyson-Schwinger equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- On the infrared behavior of Landau gauge Yang-Mills theory
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- Pinch Technique: Theory and Applications
- On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
- Introduction to the functional RG and applications to gauge theories
- A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
- Non-perturbative Landau gauge and infrared critical exponents in QCD
- The QCD Running Coupling
- Analytic properties of the Landau gauge gluon and quark propagators
- Landau gauge Yang-Mills correlation functions
- The Gribov problem and QCD dynamics
- Gauge bosons at zero and finite temperature
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- The Infrared Behaviour of the Pure Yang-Mills Green Functions
- Analytic structure of the Landau gauge gluon propagator
- An Infrared Safe perturbative approach to Yang-Mills correlators
- The three-gluon vertex in Landau gauge
- Gluonic three-point correlations in pure Landau gauge QCD
- The strong coupling and its running to four loops in a minimal MOM scheme
- Lifting the Gribov ambiguity in Yang-Mills theories
- Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
- Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
- Real time correlation functions and the functional renormalisation group
- Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
- SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
- Gribov copies, Lattice QCD and the gluon propagator
- Constructing non-perturbative gauges using correlation functions
- SU(2) Landau gluon propagator on a 140^3 lattice
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
- A Dyson-Schwinger study of the four-gluon vertex
- Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
- Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator
- Critical Slowing-Down in Landau Gauge-Fixing Algorithms
- Landau gauge ghost and gluon propagators in SU(2) lattice gauge theory: Gribov ambiguity revisited
- Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
- Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
- Covariant gauges without Gribov ambiguities in Yang-Mills theories
- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- Nonperturbative study of the four gluon vertex
- Yang-Mills correlators at finite temperature: A perturbative perspective
- Large volume behaviour of Yang-Mills propagators
- Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
- Enumerating Gribov copies on the lattice
- Dirac sheets and gauge fixing in lattice gauge theory
- On practical problems to compute the ghost propagator in SU(2) lattice gauge theory
- Unified description of seagull cancellations and infrared finiteness of gluon propagators
- Decontracted double BRST on the lattice
- Spectral properties of the Landau gauge Faddeev-Popov operator in lattice gluodynamics
- BRST Cohomology and Physical Space of the GZ Model
- (Non-)Aligned gauges and global gauge symmetry breaking
- SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
- Numerical Study of the Fundamental Modular Region in the Minimal Landau Gauge
- The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
- Spurious divergences in Dyson-Schwinger equations
- Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
- The continuum limit of the lattice Gribov problem, and a solution based on Hodge decomposition
- Infrared Saturation and Phases of Gauge Theories with BRST Symmetry
- Some more details of minimal-Landau-gauge Yang-Mills propagators
- Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism
- A global optimization method for Landau gauge fixing in Lattice QCD
- Soft Covariant Gauges on the Lattice
- On bounds and boundary conditions in the continuum Landau gauge
- Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
- Curci-Ferrari mass and the Neuberger problem
- More on the properties of the first Gribov region in Landau gauge
- Genetic Algorithm for SU(2) Gauge Theory on a 2-dimensional Lattice
- Confinement versus Bose-Einstein condensation
- Nonperturbative gluon and ghost propagators in d=3
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- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Non-perturbative finite-temperature Yang-Mills theory
- High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
- On mass generation in Landau-gauge Yang-Mills theory
- Gauge-invariant description of the Higgs resonance and its phenomenological implications
- The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
- Constraining the gauge-fixed Lagrangian in minimal Landau gauge
- Fluctuations of order parameter in an effective model
- The running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions
- tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
- Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
- Perturbative Yang-Mills theory without Faddeev-Popov ghost fields
- Gribov copies in the quark propagator