Some more details of minimal-Landau-gauge Yang-Mills propagators
arXiv:1402.5050 · doi:10.1103/PhysRevD.91.034502
Abstract
The propagators of the elementary degrees of freedom of (minimal-)Landau-gauge Yang-Mills theory have been a useful tool in various investigations. However, in lattice calculations they show severe dependencies on lattice artifacts. This problem has been addressed for various subsets of lattice artifacts and various subsets of propagators over the time. Here, an extended study of all propagators in momentum space, and for the gluon also in position space, as well as derived quantities like the running coupling, is provided simultaneously for two, three, and four dimensions over one or more orders of magnitude in both physical volume and lattice spacing, in lower dimensions also over more than two orders of magnitude for the gauge group SU(2). Most of the known qualitative results are confirmed, but two quantities also indicate a slight, but possibly interesting deviation.
v2: 43 pages, 25 figures - layout improved with bigger figures and panels divided into figures, hence the increase in length. Otherwise only minor changes, and an extended discussion of lattice artifacts. Version to appear in PRD. v1: 28 pages, 14 figures
References in corpus (19)
- Infrared Properties of QCD from Dyson-Schwinger equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- Pinch Technique: Theory and Applications
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- Scaling behavior and positivity violation of the gluon propagator in full QCD
- 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
- Källén-Lehmann spectroscopy for (un)physical degrees of freedom
- More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
- Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
- Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
- Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
- (Non-)Aligned gauges and global gauge symmetry breaking
- SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
- Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
- On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
- Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory
- Coulomb Confinement from the Yang-Mills Vacuum State in 2+1 Dimensions
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- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- On non-primitively divergent vertices of Yang-Mills theory
- Finite-density gauge correlation functions in QC2D
- Gluon propagator in two-color dense QCD: Massive Yang-Mills approach at one-loop
- Thermal quarks and gluon propagators in two-color dense QCD
- Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
- Constraining the gauge-fixed Lagrangian in minimal Landau gauge
- More on the properties of the first Gribov region in Landau gauge
- Exploring dynamical gluon mass generation in three dimensions
- More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
- The quenched SU(2) fundamental scalar propagator in minimal Landau gauge
- Propagators and topology
- The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
- Exploring the Tan contact term in Yang-Mills theory
- The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
- Lectures on Bound states