Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations

Abstract

The two- and three-point functions and the four-gluon vertex of three-dimensional Yang-Mills theory are calculated from their Dyson-Schwinger equations and the 3PI effective action. Within a self-contained truncation various effects of truncating Dyson-Schwinger equations are studied. Estimates for the errors induced by truncations are derived from comparisons between results from different equations, comparisons with lattice results, and varying higher Green functions. The results indicate that the two-loop diagrams are important in the gluon propagator, where they are explicitly calculated, but not for the vertices. Furthermore, the influence of the four-gluon vertex on lower Green functions is found to be small.

18 pages, 28 figures; corrected layout error in fig. 6; agrees with published version

References in corpus (26)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson 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
• Chiral symmetry breaking in continuum QCD
• Infrared propagators of Yang-Mills theory from perturbation theory
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Phase structure of three and four flavor QCD
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Three-point vertices in Landau-gauge Yang-Mills theory
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Improved Polyakov-loop potential for effective models from functional calculations
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• The quark-gluon vertex in Landau gauge bound-state studies
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• A Dyson-Schwinger study of the four-gluon vertex
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• Nonperturbative study of the four gluon vertex
• Spurious divergences in Dyson-Schwinger equations
• The Gluon Propagator with Two-loop Schwinger-Dyson Equations
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Nonperturbative gluon and ghost propagators for d=3 Yang-Mills
• More on the properties of the first Gribov region in Landau gauge
• Exploring dynamical gluon mass generation in three dimensions

Cited by in corpus (34)

• Baryons as relativistic three-quark bound states
• Landau gauge Yang-Mills correlation functions
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Fully coupled functional equations for the quark sector of QCD
• Correlation functions of Landau gauge Yang-Mills theory
• Non-perturbative finite-temperature Yang-Mills theory
• Gauge Sector Dynamics in QCD
• FormTracer - A Mathematica Tracing Package Using FORM
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• On non-primitively divergent vertices of Yang-Mills theory
• DoFun 3.0: Functional equations in Mathematica
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• Dense two-color QCD from Dyson-Schwinger equations
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Planar degeneracy of the three-gluon vertex
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• Spectral dimension as a tool for analyzing non-perturbative propagators
• More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• The analytic structure of three-point functions from contour deformations
• An exploratory study of Yang-Mills three-point functions at non-zero temperature
• A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• A window on infrared QCD with small expansion parameters
• The quark propagator in QCD and $G_2$ QCD
• Full and unbiased solution of the Dyson-Schwinger equation in the functional integro-differential representation
• Patterns of gauge symmetry in the background field method