Analytic calculation of color-Coulomb potential and color confinement

Abstract

We develop a calculational scheme in Coulomb and temporal gauge that respects gauge invariance and is most easily applied to the infrared asymptotic region of QCD. It resembles the Dyson-Schwinger equations of Euclidean quantum field theory in Landau gauge, but is 3-dimensional. A simple calculation yields a color-Coulomb potential that behaves at large $R$ approximately like $V_{\mathrm{coul}}(R)\sim R^{[1-0.2(d-1)]}$ for spatial dimension $1\le d\le 3$. This is a linearly rising potential plus a rather weak dependence on $d$.

12 pages

References in corpus (6)

• Analytic properties of the Landau gauge gluon and quark propagators
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• No confinement without Coulomb confinement
• Coulomb Energy, Vortices, and Confinement
• SU(2) Landau gluon propagator on a 140^3 lattice
• Confinement and gluon propagator in Coulomb gauge QCD

Cited by in corpus (37)

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• Equation of State of Gluon Plasma from Fundamental Modular Region
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Dielectric function of the QCD vacuum
• Aspects of the confinement mechanism in Coulomb-gauge QCD
• Equation of State of Gluon Plasma from Local Action
• A covariant variational approach to Yang-Mills Theory
• QCD Coulomb gauge approach to hybrid mesons
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• Infrared Behaviour and Running Couplings in Interpolating Gauges in QCD
• Some non-renormalization theorems in Curci-Ferrari model
• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
• Effective restoration of chiral symmetry in excited mesons
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
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• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory
• The Gribov horizon and the one-loop color-Coulomb potential
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory
• The Coulomb flux tube on the lattice
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• The Equal-Time Quark Propagator in Coulomb Gauge
• The Coulomb flux tube revisited
• Functional approaches to infrared Yang-Mills theory in the Coulomb gauge
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