Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-11-09
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 1 figure, jhep format
Scientific paper
The main purpose of this work is to show that massless Dirac equation formulated for non-interacting Majorana-Weyl spinors in higher dimensions, particularly in D=1+9 and D=5+5, can lead to an interpretation of massive Majorana and Dirac spinors in D=1+3. By adopting suitable representations of the Dirac matrices in higher dimensions, we pursue the investigation of which higher dimensional space-times and which mass-shell relation concerning massless Dirac equations in higher dimensions may induce massive spinors in D=1+3. The mixing of the chiral fermions in higher dimensions may induce a mechanism such that four massive Majorana fermions may show up and, at an appropriate limit an almost zero and a huge mass show up with corresponding left-handed and right-handed eigenstates. This mechanism, in a peculiar way, could reassess the See-Saw scheme associated to neutrino with Majorana-type masses. Remarkably the masses of the particles are fixed by the dimension decoupling/reduction scheme based on the mass Lorentz invariant term, where one set of the decoupled dimensions are the "target" coordinates frame and the other set of coordinates is the composing block of the mass term in lower dimensions. This proposal should allow us to understand the generation of hierarchies, such as the fourth generation, for the fermionic masses in D=1+3, or in lower dimensions in general, starting from the constraints between the energy and the momentum in D=n+n. For the initial D=5+5 Majorana-Weyl spinors framework using the Weyl representation to the Dirac matrices we observe an intriguing decomposition of space-time that result in two very equivalent D=1+4 massive spinors which mass term, in D=1+3 included, is originated from the remained/decoupled component and that could induce a Brane-World mechanism.
Colatto L. P.
de Andrade Marco A.
de Assis Leonardo P. G.
Helayël-Neto Jose A.
Matheus-Valle J. L.
No associations
LandOfFree
Mass Generation and Related Issues from Exotic Higher Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mass Generation and Related Issues from Exotic Higher Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass Generation and Related Issues from Exotic Higher Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-43098