Improved variational approach to QCD in Coulomb gauge

Abstract

The variational approach to QCD in Coulomb gauge developed previously by the Tübingen group is improved by enlarging the space of quark trial vacuum wave functionals through a new Dirac structure in the quark-gluon coupling. Our ansatz for the quark vacuum wave functional ensures that all linear divergences cancel in the quark gap equation resulting from the minimization of the energy calculated to two-loop order. The logarithmic divergences are absorbed in a renormalized coupling which is adjusted to reproduce the phenomenological value of the quark condensate. We also unquench the gluon propagator and show that the unquenching effects are generally small and amount to a small reduction in the mid-momentum regime.

References in corpus (9)

• 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
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Dielectric function of the QCD vacuum
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• The effective Coulomb potential 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

Cited by in corpus (14)

• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Correlation functions of Landau gauge Yang-Mills theory
• Revised variational approach to QCD in Coulomb gauge
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge
• An exploratory study of Yang-Mills three-point functions at non-zero temperature
• The Equal-Time Quark Propagator in Coulomb Gauge
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Dyson--Schwinger Approach to Hamiltonian QCD
• Dynamical Quark Mass Generation in QCD\textsubscript{3} within the Hamiltonian approach in Coulomb gauge
• Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature
• Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions