From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles

TL;DR

This paper applies the renormalization group procedure for effective particles to QCD, demonstrating asymptotic freedom and analyzing the running of the Hamiltonian coupling to advance understanding of heavy quarkonia.

Contribution

It introduces the RGPEP approach to QCD, showing how it captures asymptotic freedom and sets the stage for bound-state calculations in heavy quark systems.

Findings

RGPEP exhibits asymptotic freedom in QCD

The running of the Hamiltonian coupling is characterized

Foundational elements for bound-state problem formulation are summarized

Abstract

The renormalization group procedure for effective particles (RGPEP), developed as a nonperturbative tool for constructing bound states in quantum field theories, is applied to QCD. The approach stems from the similarity renormalization group and introduces the concept of effective particles. It has been shown that the RGPEP passes the test of exhibiting asymptotic freedom. We present the running of the Hamiltonian coupling with the renormalization-group scale and summarize the basic elements needed in the formulation of the bound-state problem.