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Quantum stability of nonlinear wave type solutions with intrinsic mass parameter in QCD

2016/07/31 by Youngman Kim, Bum-Hoon Lee, D. G. Pak +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Formalism (music) #Magnetic monopole #Nonlinear system #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #hep-th

paper · pdf · doi:10.1103/physrevd.96.054025

published as Phys. Rev. D 96, 054025 (2017) · 13 pages, 7 figures, final version accepted for publication in Phys. Rev. D, minor corrections

arxiv created 2017/09/15 · openalex publication_date 2017/09/25 · arxiv updated 2017/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The problem of the existence of a stable vacuum field in pure QCD is revised. Our approach is based on using classical stationary nonlinear wave type solutions with an intrinsic mass scale parameter. Such solutions can be treated as quantum-mechanical wave functions describing massive spinless states in quantum theory. We verify whether nonlinear wave type solutions can form a stable vacuum field background within the framework of the effective action formalism. We demonstrate that there is a special class of stationary generalized Wu-Yang monopole solutions that are stable against quantum gluon fluctuations.

Citations