Hamiltonian Approach to Yang-Mills Theory in Coulomb Gauge—Revisited

Abstract

I briefly review results obtained within the variational Hamiltonian approach to Yang‐Mills theory in Coulomb gauge and confront them with recent lattice data. The variational approach is extended to non‐Gaussian wave functionals including three‐ and four‐gluon kernels in the exponential of the vacuum wave functional and used to calculate the three‐gluon vertex. A new functional renormalization group flow equation for Hamiltonian Yang‐Mills theory in Coulomb gauge is solved for the gluon and ghost propagator under the assumption of ghost dominance. The results are compared to those obtained in the variational approach.