Duality Theory of Strong Interaction

摘要

The main objective of this article is to explore the duality of strong interactionderived from an SU(3) gauge theory based on two basic principles: the principle of interactiondynamics (PID) and principle of representation invariance (PRI). Intuitively, PID takes thevariation of the action functional under energy-momentum conservation constraint, and PRIrequires that physical laws be independent of representations of the gauge group. The new SU(3)gauge field equations establish a natural duality between strong gauge fields {Sμk}, representingthe eight gluons, and eight bosonic scalar fields. With the duality, we derive three levels ofstrong interaction potentials: the quark potential Φq, the nucleon/hadron potential Φn andthe atom/molecule potential Φa. These potentials clearly demonstrates many features of stronginteraction consistent with observations. In particular, they provide a clear explanation for bothquark confinement and asymptotic freedom. Also, in the nuclear level, the new potential is animprovement of the Yukawa potential. As the distance between two nucleons is increasing, thenuclear force corresponding to the nucleon potential Φn behaves as repelling, then attracting,then repelling again and diminishes, consistent with experimental observations.