2006/07/25 by J. A. Sánchez-Monroy, J. A. Sanchez-Monroy, Sanchez-Monroy, J. A. +2 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0607203
9 pages. Some small changes have been performed
openalex publication_date 2006/07/25 · arxiv created 2006/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the equations of motion of the SU(3) Yang-Mills theory. Since the gluons, at scales of the order of 1 fm, can be considered as classical fields, we suppose that the gauge fields (Aμa) of this theory are the gluonic fields and then it is possible to consider the Quantum Chromodynamics in a classical regime. For the case in which the condition [Aμa, Aρa]=0 is satisfied, we show that the abelian equations of motion of the Classical Chromodynamics (CCD) have the same form as those of the classical electrodynamics without sources. Additionally, we obtain the non-abelian Maxwell equations for the CCD with sources. We observe that there exist electric and magnetic colour fields whose origin is not fermionic. We show as the gluons can be assumed as the sources of the electric and magnetic colour fields. We note that the gluons are the only responsible for the existence of a magnetic colour monopole in the CCD.