Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge

Abstract

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.

9 pages, 3 figures, references added.

References in corpus (3)

• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method

Cited by in corpus (40)

• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Dielectric function of the QCD vacuum
• The Coulomb gauge ghost Dyson-Schwinger equation
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• A model for QCD ground state with magnetic disorder
• Revised variational approach to QCD in Coulomb gauge
• Confinement from gluodynamics in curved space-time
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions
• Vertex functions of Coulomb gauge Yang--Mills theory
• Is the ground state of Yang-Mills theory Coulombic?
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
• Higher order heavy quark Green's functions in Coulomb gauge
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Three-quark confinement potential from the Faddeev equation
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Natural solution in the refined Gribov-Zwanziger theory
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Functional approaches to infrared Yang-Mills theory in the Coulomb gauge
• The Equal-Time Quark Propagator in Coulomb Gauge
• Quark sector of Coulomb gauge Quantum Chromodynamics
• A Numerical Approach to Coulomb Gauge QCD
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Dynamical Quark Mass Generation in QCD\textsubscript{3} within the Hamiltonian approach in Coulomb gauge
• Gluelump spectrum from Coulomb gauge QCD
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions
• Perturbative Yang-Mills Ground State in the Temporal Gauge