The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions

Abstract

The variational approach to the Hamilton formulation of Yang-Mills theory in Coulomb gauge developed by the present authors previously is applied to Yang-Mills theory in 2+1 dimensions and is confronted with the existing lattice data. We show that the resulting Dyson-Schwinger equations (DSE) yield consistent solutions in 2+1 dimensions only for infrared divergent ghost form factor and gluon energy. The obtained numerical solutions of the DSE reproduce the analytic infrared results and are in satisfactory agreement with the existing lattice date in the whole momentum range.

20 pages, 6 figures

References in corpus (5)

• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Large volume behaviour of Yang-Mills propagators
• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Quark and gluon confinement in Coulomb gauge

Cited by in corpus (3)

• Dielectric function of the QCD vacuum
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge