Hamiltonian renormalization for bound state problem in gluodynamics

TL;DR

This paper develops a systematic Hamiltonian renormalization method for studying bound states in gluodynamics, combining flow equations with phenomenology to derive an effective low-energy Hamiltonian that supports a constituent gluon model for glueballs.

Contribution

It introduces a novel Hamiltonian renormalization approach using flow equations and phenomenology to model glueball bound states in gluodynamics.

Findings

Derived a renormalized effective Hamiltonian up to second order at low energies.

Supports the constituent gluon model for glueball states.

Numerical results align with the constituent picture of hadronic observables.

Abstract

The systematic approach to study bound states in gluodynamics is presented. The method utilizes flow equations together with low-energy phenomenology, that provides the perturbative renormalization scaling in conjuction with the change of the basis to constituent gluon states. The renormalized effective Hamiltonian of gluodynamics up to the second order is obtained at low energies, which provides a kind of constituent gluon model for glueball bound states. The approach allows to include perturbative QCD corrections into nonperturbative calculations of many-body techniques. The performed numerical calculations support the constituent picture of hadronic observables.