Hamiltonian approach to Yang-Mills theory in Coulomb gauge - revisited

TL;DR

This paper reviews and extends the variational Hamiltonian approach to Yang-Mills theory in Coulomb gauge, incorporating non-Gaussian wave functionals and a new renormalization group flow, with results compared to lattice data.

Contribution

It introduces non-Gaussian wave functionals with multi-gluon kernels and a novel functional renormalization group flow equation for Hamiltonian Yang-Mills theory.

Findings

Agreement with lattice data on gluon and ghost propagators

Successful calculation of the three-gluon vertex

Validation of the renormalization group approach in Coulomb gauge

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.