11,160 research outputs found
Geometry of Majorana neutrino and new symmetries
Experimental observation of Majorana fermion matter gives a new impetus to
the understanding of the Lorentz symmetry and its extension, the geometrical
properties of the ambient space-time structure, matter--antimatter symmetry and
some new ways to understand the baryo-genesis problem in cosmology. Based on
the primordial Majorana fermion matter assumption, we discuss a possibility to
solve the baryo-genesis problem through the the Majorana-Diraco genesis in
which we have a chance to understand creation of Q(em) charge and its
conservation in our D=1+3 Universe after the Big Bang. In the Majorana-Diraco
genesis approach there appears a possibility to check the proton and electron
non-stability on the very low energy scale. In particle physics and in our
space-time geometry, the Majorana nature of the neutrino can be related to new
types of symmetries which are lying beyond the binary Cartan-Killing-Lie
algebras/superalgebras. This can just support a conjecture about the
non-completeness of the SM in terms of binary Cartan--Killing--Lie
symmetries/supersymmetries. As one of the very important applications of such
new ternary symmetries could be related with explanation of the nature of the
three families and three colour symmetry. The Majorana neutrino can directly
indicate the existence of a new extra-dimensional geometry and thanks to new
ternary space-time symmetries, could lead at high energies to the
unextraordinary phenomenological consequences.Comment: The article is presented on the 2-nd Simposium on Neutrinos and Dark
Matter in Nuclear Physics, Paris, September 3-9, 200
The decays and in the NJL model
The widths of the decays and
are calculated in the framework of the NJL
model. It is shown that these decays are defined by the and quark mass
difference. It leads to the suppression of these decays in comparison with the
main decay modes. In the process the intermediate
scalar state is taken into account. For the decays the
intermediate states with , and mesons
are used. Our estimates are compared with the results obtained in other works.Comment: 6 pages, 5 figures, 1 tabl
Ternary numbers and algebras. Reflexive numbers and Berger graphs
The Calabi-Yau spaces with SU(m) holonomy can be studied by the algebraic way
through the integer lattice where one can construct the Newton reflexive
polyhedra or the Berger graphs. Our conjecture is that the Berger graphs can be
directly related with the -ary algebras. To find such algebras we study the
n-ary generalization of the well-known binary norm division algebras, , , , , which helped to discover the
most important "minimal" binary simple Lie groups, U(1), SU(2) and G(2). As the
most important example, we consider the case , which gives the ternary
generalization of quaternions and octonions, , , respectively. The
ternary generalization of quaternions is directly related to the new ternary
algebra and group which are related to the natural extensions of the binary
algebra and SU(3) group. Using this ternary algebra we found the
solution for the Berger graph: a tetrahedron.Comment: Revised version with minor correction
The processes in the extended NJL model
The process is described in the framework of
the extended NJL model. Intermediate vector mesons ,
and \rho'(1450)e^{+}e^{-}
\to \pi\pi'(1300)\rho'(1450)$ meson.Comment: 7 pages, 5 figure
Root systems from Toric Calabi-Yau Geometry. Towards new algebraic structures and symmetries in physics?
The algebraic approach to the construction of the reflexive polyhedra that
yield Calabi-Yau spaces in three or more complex dimensions with K3 fibres
reveals graphs that include and generalize the Dynkin diagrams associated with
gauge symmetries. In this work we continue to study the structure of graphs
obtained from reflexive polyhedra. We show how some particularly defined
integral matrices can be assigned to these diagrams. This family of matrices
and its associated graphs may be obtained by relaxing the restrictions on the
individual entries of the generalized Cartan matrices associated with the
Dynkin diagrams that characterize Cartan-Lie and affine Kac-Moody algebras.
These graphs keep however the affine structure, as it was in Kac-Moody Dynkin
diagrams. We presented a possible root structure for some simple cases. We
conjecture that these generalized graphs and associated link matrices may
characterize generalizations of these algebras.Comment: 24 pages, 6 figure
THE NUMBER OF SPHALERON INSTABILITIES OF THE BARTNIK-McKINNON SOLITONS AND NON-ABELIAN BLACK HOLES
It is proven that there are precisely odd-parity sphaleron-like unstable
modes of the -th Bartnik-McKinnon soliton and the -th non-abelian black
hole solution of the Einstein-Yang-Mills theory for the gauge group .Comment: one reference is adde
Cosmic Colored Black Holes
We present spherically symmetric static solutions (a particle-like solution
and a black hole solution) in the Einstein-Yang-Mills system with a
cosmological constant.Although their gravitational structures are locally
similar to those of the Bartnik-McKinnon particles or the colored black holes,
the asymptotic behavior becomes quite different because of the existence of a
cosmological horizon. We also discuss their stability by means of a catastrophe
theory as well as a linear perturbation analysis and find the number of
unstable modes.Comment: 12 pages, latex, 4 figures (available upon request
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