Chiral symmetry breaking in Hamiltonian QCD in Coulomb gauge

Abstract

Spontaneous breaking of chiral symmetry is investigated in the Hamiltonian approach to QCD in Coulomb gauge. The quark wave functional is determined by the variational principle using an ansatz which goes beyond the commonly used BCS-type of wave functionals and includes the coupling of the quarks to the transversal spatial gluons. Using the lattice gluon propagator as input it is shown that the low energy chiral properties of the quarks, like the quark condensate and the constituent quark mass, are substantially increased by the coupling of the quarks to the spatial gluons. Our results compare favourably with the phenomenological values.

4 pages, 2 figures

References in corpus (13)

• Infrared Properties of QCD from Dyson-Schwinger equations
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Chiral symmetry breaking with lattice propagators
• Coulomb gauge gluon propagator and the Gribov formula
• Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
• Dielectric function of the QCD vacuum
• 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
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge

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