Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory
arXiv:0905.4594 · doi:10.1007/s00601-009-0073-0
Abstract
The non-perturbative domain of QCD contains confinement, chiral symmetry breaking, and the bound state spectrum. For the calculation of the latter, the Coulomb gauge is particularly well-suited. Access to these non-perturbative properties should be possible by means of the Green's functions. However, Coulomb gauge is also very involved, and thus hard to tackle. We introduce a novel BRST-type operator r, and show that the left-hand side of Gauss' law is r-exact. We investigate a possible truncation scheme of the Dyson-Schwinger equations in first-order formalism for the propagators based on an instantaneous approximation. We demonstrate that this is insufficient to obtain solutions with the expected property of a linear-rising Coulomb potential. We also show systematically that a class of possible vertex dressings does not change this result.
22 pages, 4 figures, 1 table
References in corpus (19)
- Infrared Properties of QCD from Dyson-Schwinger equations
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
- Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
- Coulomb gauge gluon propagator and the Gribov formula
- Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
- Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
- Quark-Model Identification of Baryon Ground and Resonant States
- The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
- Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
- Two-Point Functions of Coulomb Gauge Yang-Mills Theory
- 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
- Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
- Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
- Landau Gauge QCD: Functional Methods versus Lattice Simulations
- Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
- The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions
- Quark and gluon confinement in Coulomb gauge
Cited by in corpus (10)
- The QCD Running Coupling
- Gauge bosons at zero and finite temperature
- Leading order infrared quantum chromodynamics in Coulomb gauge
- Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
- Towards a Born term for hadrons
- The Gribov horizon and the one-loop color-Coulomb potential
- Bound states at lowest order in hbar
- The Coulomb flux tube on the lattice
- Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
- Instantaneous Dynamics of QCD