Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge

2004/08/31 by C. Feuchter, H. Reinhardt, Hugo Reinhardt · 11 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.70.105021

published as Phys.Rev.D70:105021,2004 · 24 pages, revtex, 13 figures

arxiv created 2004/08/31 · openalex publication_date 2004/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Yang-Mills Schr"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an Ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations for the gluon and ghost propagators in the Yang-Mills vacuum as well as for the curvature of gauge orbit space is derived and solved in one-loop approximation. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator, and an almost linearly rising confinement potential.

Citations

• Quantization of non-Abelian gauge theories
• QCD and instantons at finite temperature
• Kamlah expansion and gauge theories

Cited by

• Gluelump spectrum from Coulomb gauge QCD
• Confinement from gluodynamics in curved space-time
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Infrared analysis of propagators and vertices of Yang-Mills theory in Landau and Coulomb gauge
• Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD
• Numerical approach to Coulomb gauge QCD
• A study of the Gribov copies in linear covariant gauges in euclidean Yang-Mills theories
• Dielectric Function of the QCD Vacuum
• Gauge-invariant and infrared-improved variational analysis of the Yang-Mills vacuum wave functional
• Subcritical solution of the Yang-Mills Schrödinger equation in the Coulomb gauge
• Influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge