How to present and interpret the Feynman diagrams in this theory describing fermion and boson fields in a unique way, in comparison with the Feynman diagrams so far presented and interpreted?

Abstract

Although the internal spaces describing spins and charges of fermions' and bosons' second-quantised fields have such different properties, yet we can all describe them equivalently with the ``basis vectors'' which are a superposition of odd (for fermions) and even (for bosons) products of ${\gamma }^a$'s. In an even-dimensional internal space, as it is $d=(13+1)$, odd ``basis vectors'' appear in $2^{\frac{d}{2}-1}$ families with $2^{\frac{d}{2}-1}$ members each, and have their Hermitian conjugate partners in a separate group, while even ``basis vectors'' appear in two orthogonal groups. Algebraic multiplication of boson and fermion ``basis vectors'' determines the interactions between fermions and bosons, and among bosons themselves, and correspondingly also their action. Tensor products of the ``basis vectors'' and basis in ordinary space-time determine states for fermions and bosons, if bosons obtain in addition the space index $\alpha$. We study properties of massless fermions and bosons with the internal spaces determined by the ``basis vectors'' while assuming that fermions and bosons are active only in $d=(3+1)$ of the ordinary space-time. We discuss the Feynman diagrams in this theory, describing internal spaces of fermion and boson fields with odd and even ``basis vectors'', respectively, in comparison with the Feynman diagrams of the theories so far presented and interpreted.

19 pages, four figures, Workshop, ISSN 1580-4992, two talks are connected, presenting the new way of fermion and boson second quantised fields, supporting each other