1304.3776 (Sadataka Furui)

Axial anomaly and the triality symmetry of leptons and hadrons    [PDF]

Sadataka Furui

The axial anomaly in hadronic system produced via mixing of quark propagator $\xi_{1234}$ and $\xi_0$, which occurs through the operation of $G_{12}$ and $G_{13}$ of \'E. Cartan on the spinors $A,B,C,D$ and vectors $E,E'$ is investigated. When 2 final vector particles belong to the same group ($EE$ or $E'E'$), the process is called rescattering diagram, and when they belong to different groups ($EE'$), the process is called twisted diagram. The twisted diagram is interpreted as an instanton effect and plays a role in $\eta\to\gamma\gamma$ and $\eta'\to\gamma\gamma$. Assuming the triality selection rules of octonions, dark matter is interpreted as matter emiting photons in different triality sector than that of electromagnetic probes in our world.

View original: http://arxiv.org/abs/1304.3776