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Celebrating the 70th anniversary of the publication of the paper by C. N. Yang and R. Mills, this paper proposes to present the construction of the so-called Yang-Mills equations based on fundamental requirements, investigating how one can formulate a theory that describes the self-interaction of electromagnetically neutral vector bosons with zero mass. As these are attributes of the photon, the starting point is Maxwell's equations and their so-called local gauge invariance, with symmetry group U(1). Thus, starting from a set of vector fields that have an associated global non-Abelian symmetry, we will use the so-called Noether current method to introduce self-interactions. The interesting aspect is that this process concludes with the starting symmetry, initially global, automatically becoming a gauge symmetry as a result of the structure of the self-interactions. The approach already leaves the path built for the introduction of the matter sector minimally coupled to the Yang-Mills fields. It is important to highlight that this procedure goes in the opposite direction to what is presented in the original paper by Yang-Mills. The procedure via Noether currents is more natural, as it answers the question how elementary spin-1 particles can self-interact, without needing to appeal to matter fields. [ABSTRACT FROM AUTHOR]

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Copyright of Caderno Brasileiro de Ensino de Física is the property of Caderno Brasileiro de Ensino de Fisica and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)