Dielectric function of the QCD vacuum

Abstract

It is shown that the inverse of the ghost form factor in the Hamilton approach to Yang-Mills theory in Coulomb gauge can be interpreted as the color dielectric function of the QCD vacuum. Furthermore the horizon condition to the ghost form factor implies that in the infrared the QCD vacuum is a perfect color diaelectric medium and therefore a dual superconductor. The dielectric function is explicitly calculated within a previously developed variational approach, using a specific ansatz for the vacuum wave functional.

4 pages, 1 figure, revised version as published in Phys. Rev. Lett

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Cited by in corpus (47)

• Gauge bosons at zero and finite temperature
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• A covariant variational approach to Yang-Mills Theory
• The Coulomb gauge ghost Dyson-Schwinger equation
• The effective potential of the confinement order parameter in the Hamiltonian approach
• The effective potential of the confinement order parameter in the Hamilton approach
• BRST symmetry vs. Horizon condition in Yang-Mills theories
• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• Chiral symmetry breaking in Hamiltonian QCD in Coulomb gauge
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Coulomb vs. physical string tension on the lattice
• Quark Sector of the QCD Groundstate in Coulomb Gauge
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Infrared Saturation and Phases of Gauge Theories with BRST Symmetry
• Improved variational approach to QCD in Coulomb gauge
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• The role of center vortices in Gribov's confinement scenario
• Ghost propagator and the Coulomb form factor from the lattice
• Quarks in Coulomb gauge perturbation theory
• Vertex functions of Coulomb gauge Yang--Mills theory
• The ghost-gluon vertex in Hamiltonian Yang-Mills theory in Coulomb gauge
• Perturbation theory in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
• On the temporal Wilson loop in the Hamiltonian approach in Coulomb gauge
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Effective theory of the D = 3 center vortex ensemble
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge
• Local QCD Action at Finite Temperature
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• The (de)-confinement transition in tachyonic matter at finite temperature
• Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector
• Origin of Confining Force
• Color Coulomb Potential in Yang-Mills Theory from Hamiltonian Flows
• Natural solution in the refined Gribov-Zwanziger theory
• The Equal-Time Quark Propagator in Coulomb Gauge
• A proposal for the Yang-Mills vacuum and mass gap
• Hamiltonian Flow of Yang-Mills Theory in Coulomb Gauge
• Hamiltonian approach to QCD in Coulomb gauge: From the vacuum to finite temperatures
• Some Developments in Gribov's Approach to QCD
• Deconfinement phase transition in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Instantaneous Dynamics of QCD
• Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions
• Recent results from the Hamiltonian approach to Yang-Mills theory in Coulomb gauge