Predicting angular-momentum waves based on Yang–Mills equations

• Published in: Results in physics 2024-01, Vol.56, p.107300, Article 107300
• Main Authors: Fan, Xing-Yan, Xie, Xiang-Ru, Chen, Jing-Ling
• Format: Article
• Language: English
• Subjects: Angular-momentum waves; Maxwell’s equations; Spin; Spin oscillation; Yang–Mills equations
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2023.107300

As one of the most elegant theories in physics, Yang–Mills (YM) theory not only incorporates Maxwell’s equations unifying electromagnetism, but also underpins the standard model explaining the electroweak and strong interactions in a succinct way. Whereas the highly nonlinear terms in YM equations involving the interactions between potentials and fields retard the resolution for them. In the U(1) case, the solutions of Maxwell’s equations are the electromagnetic waves, which have been applied extensively in the modern communication networks all over the world. Likewise the operator solutions of the YM equations under the assumptions of weak-coupling and zero-coupling predict the SU(2) angular-momentum waves, which is the staple of this work. Such angular-momentum waves are hopefully realized in the experiments through the oscillation of spin angular momentum, such as the “spin Zitterbewegung” of Dirac’s electron. •Studying the operator solutions of the Yang–Mills equations under the assumptions of weak-coupling and zero-coupling.•Predicting the angular-momentum waves based on Yang–Mills equations.•Detecting the spin angular-momentum waves by “spin Zitterbewegung” thought experiment.