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A Bargmann-Wightman-Wigner Type Quantum Field Theory
This version corrects an inportant typographical error in Eq. 17. COMMENTS,
FOR THE RECORD: A referees reoprt from Phys. Rev. Lett. read in part ``The
first named author has appreciated my exceptionally long report. He has read
and well assimilated the literature I suggested. Congratulations! This very new
version of the manuscript has now three authors and carries a very well chosen
title. Indeed Bargmann, Wightman and Wigner had studied, this subject forty
years ago, in an unpublished book (several chapters were distributed as
preprints). The authors explain well the scope of their paper. They have made a
thorough construction of a field theory of a non usual Wigner type; that is
completely new and all references are relevant. {\it This paper should be
published.}" Despite the fact that no other report was received, the editors of
Phys. Rev. Lett. rejected this paper.
D.V.A.Comment: 13 pages, RevTex, LA-UR-92-3726-RE
The most general cosmological dynamics for ELKO Matter Fields
Not long ago, the definition of eigenspinors of charge-conjugation belonging
to a special Wigner class has lead to the unexpected theoretical discovery of a
form of matter with spin 1/2 and mass dimension 1, called ELKO matter field;
ELKO matter fields defined in flat spacetimes have been later extended to
curved and twisted spacetimes, in order to include in their dynamics the
coupling to gravitational fields possessing both metric and torsional degrees
of freedom: the inclusion of non-commuting spinorial covariant derivatives
allows for the introduction of more general dynamical terms influencing the
behaviour of ELKO matter fields. In this paper, we shall solve the theoretical
problem of finding the most general dynamics for ELKO matter, and we will face
the phenomenological issue concerning how the new dynamical terms may affect
the behaviour of ELKO matter; we will see that new effects will arise for which
the very existence of ELKO matter will be endangered, due to the fact that
ELKOs will turn incompatible with the cosmological principle. Thus we have that
anisotropic universes must be taken into account if ELKOs are to be considered
in their most general form.Comment: 9 page
CP violating Tri-bimaximal-Cabibbo mixing
In view of the new data from the Daya Bay and RENO collaborations, King has
presented a very natural deformation of tri-bimaximal mixing. Here we show that
L/E flatness of the e-like event ratio in the atmospheric neutrino data, when
coupled with King's observation that the smallest neutrino mixing angle,
\theta_{13}, seems to be related to the largest quark mixing angle (the Cabibbo
angle \theta_C), leads to a CP violating tri-bimaximal-Cabibbo mixing. King's
tri-bimaximal-Cabibbo mixing follows as a leading order approximation from our
result.Comment: 6 page
Book Review: The Quantum Theory of Fields, Vol. I and II by S. Weinberg
Review of the two volume set "The Quantum Theory of Fields" by S. Weinberg is
presented
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