Degrees of freedom of massless boson and fermion fields in any even dimension

Abstract

This is a discussion on degrees of freedom of massless fermion and boson fields, if they are free or weakly interacting. We generalize the gauge fields of $S^{ab}$ - ${\omega }_{abc}$ - and of ${\tilde{S}}^{ab}$ - ${\tilde{\omega }}_{abc}$ - of the spin-charge-family to the gauge fields of all possible products of ${\gamma }^a$'s and of all possible products of ${\tilde{\gamma }}^a$'s, the first taking care in the {\it spin-charge-family} theory of the spins and charges quantum numbers (${\tau }^{Ai}={\sum }_{a,b}{c}^{Ai}{}_{ab}{S}^{ab}$) of fermions, the second (${\tilde{\tau }}^{Ai}={\sum }_{a,b}{\tilde{c}}^{Ai}{}_{ab}{\tilde{S}}^{ab}$) taking care of the families quantum numbers.

11 pages, revtex, This is the talk published in the Proceedings to the $18^{th}$ Workshop "What Comes Beyond the Standard Models", Bled, 11-19 of July, 2015

References in corpus (1)

• "An effective two dimensionality" cases bring a new hope to the Kaluza-Klein[like] theories