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From Asymptotic Freedom Toward Heavy Quarkonia Within the Renormalization-Group Procedure for Effective Particles

2016/11/22 by María Gómez-Rocha
Physics and Astronomy · #Asymptotic freedom #Asymptotic safety in quantum gravity #Coupling (piping) #Coupling constant #Hamiltonian (control theory) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum field theory #Renormalization #Renormalization group #hep-ph

paper · pdf · doi:10.1007/s00601-017-1218-1

Presented at Light Cone 2016, IST, Universidade de Lisboa, Portugal, September 5-8 2016. 8 pages, 3 figures

arxiv created 2016/11/22 · openalex created_date 2016/11/30 · openalex publication_date 2017/01/29 · arxiv updated 2017/03/08 · openalex updated_date 2026/08/05

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.

Citations