Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
Markus Leder, Jan M. Pawlowski, Hugo Reinhardt, Axel Weber
TL;DR
This paper develops a new renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge, solving for gluon and ghost propagators under ghost dominance, and compares results with variational methods.
Contribution
It introduces a novel functional renormalization group equation for Coulomb gauge Yang-Mills theory and analyzes propagators using diagrammatic approximations.
Findings
Flow equations for propagators derived and solved
Results compared with variational approach
Discussion on approximation reliability
Abstract
We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different diagrammatic approximations. The results are compared to those obtained in the variational approach and the reliability of the approximations is discussed.
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