2,286 research outputs found
Mass Matrices in E6 Unification
We study a supersymmetric E6 grand unified model in which the SU(5) 5^*
components are twisted in the third generation 27. Supplementing the adjoint
Higgs field to a model analyzed previously, we calculate the mass matrices for
the up and down quarks and charged leptons. Although the number of free
parameters is less than that of observables, an overall fitting to the observed
masses and mixing angles is shown to be possible. Most notably, we find two
novel, parameter-independent relations between the lepton 2-3 mixing angle and
the quark masses and CKM mixing angles that are in good agreement with the
large lepton mixing recently observed.Comment: 33 pages, 5 figures, typos correcte
Fate of Vector Dominance in the Effective Field Theory
We reveal the full phase structure of the effective field theory for QCD,
based on the hidden local symmetry (HLS) through the one-loop renormalization
group equation including quadratic divergences. We then show that vector
dominance (VD) is not a sacred discipline of the effective field theory but
rather an accidental phenomenon peculiar to three-flavored QCD. In particular,
the chiral symmetry restoration in HLS model takes place in a wide phase
boundary surface, on which the VD is realized nowhere. This suggests that VD
may not be valid for chiral symmetry restoration in hot and/or dense QCD.Comment: 4 pages, 3 figures. One reference added. Minor modification to
shorten the manuscript. This is the version to appear in Physical Review
Letter
Proving the Low Energy Theorem of Hidden Local Symmetry
Based on the Ward-Takahashi identity for the BRS symmetry, we prove to all
orders of the loop expansion the low energy theorem of hidden local symmetry
for the vector mesons (KSRF (I) relation) in the
/ nonlinear chiral Lagrangian.Comment: 12 pages, LaTeX, DPNU-93-01/KUNS-117
Exact shock solution of a coupled system of delay differential equations: a car-following model
In this paper, we present exact shock solutions of a coupled system of delay
differential equations, which was introduced as a traffic-flow model called
{\it the car-following model}. We use the Hirota method, originally developed
in order to solve soliton equations. %While, with a periodic boundary
condition, this system has % a traveling-wave solution given by elliptic
functions. The relevant delay differential equations have been known to allow
exact solutions expressed by elliptic functions with a periodic boundary
conditions. In the present work, however, shock solutions are obtained with
open boundary, representing the stationary propagation of a traffic jam.Comment: 6 pages, 2 figure
Dynamical Gauge Boson and Strong-Weak Reciprocity
It is proposed that asymptotically nonfree gauge theories are consistently
interpreted as theories of composite gauge bosons. It is argued that when
hidden local symmetry is introduced, masslessness and coupling universality of
dynamically generated gauge boson are ensured. To illustrate these ideas we
take a four dimensional Grassmannian sigma model as an example and show that
the model should be regarded as a cut-off theory and there is a critical
coupling at which the hidden local symmetry is restored. Propagator and vertex
functions of the gauge field are calculated explicitly and existence of the
massless pole is shown. The beta function determined from the factor of
the dynamically generated gauge boson coincides with that of an asymptotic
nonfree elementary gauge theory. Using these theoretical machinery we construct
a model in which asymptotic free and nonfree gauge bosons coexist and their
running couplings are related by the reciprocally proportional relation.Comment: 19 pages, latex, 6 eps figures, a numbers of corrections are made in
the tex
Solvable Optimal Velocity Models and Asymptotic Trajectory
In the Optimal Velocity Model proposed as a new version of Car Following
Model, it has been found that a congested flow is generated spontaneously from
a homogeneous flow for a certain range of the traffic density. A
well-established congested flow obtained in a numerical simulation shows a
remarkable repetitive property such that the velocity of a vehicle evolves
exactly in the same way as that of its preceding one except a time delay .
This leads to a global pattern formation in time development of vehicles'
motion, and gives rise to a closed trajectory on -
(headway-velocity) plane connecting congested and free flow points. To obtain
the closed trajectory analytically, we propose a new approach to the pattern
formation, which makes it possible to reduce the coupled car following
equations to a single difference-differential equation (Rondo equation). To
demonstrate our approach, we employ a class of linear models which are exactly
solvable. We also introduce the concept of ``asymptotic trajectory'' to
determine and (the backward velocity of the pattern), the global
parameters associated with vehicles' collective motion in a congested flow, in
terms of parameters such as the sensitivity , which appeared in the original
coupled equations.Comment: 25 pages, 15 eps figures, LaTe
Hypercharge and baryon minus lepton number in E6
We study assignments of the hypercharge and baryon minus lepton number for
particles in the grand unification model. It is shown that there are
three assignments of hypercharge and three assignments of baryon minus lepton
number which are consistent with the Standard Model. Their explicit expressions
and detailed properties are given. In particular, we show that the
symmetry in cannot be orthogonal to the symmetry. Based on
these investigations, we propose an alternative SU(5) grand unification model.Comment: 16 pages, JHEP3.cls, To appear in JHE
Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems
In a certain class of differential-difference equations for dissipative
systems, we show that hyperbolic tangent model is the only the nonlinear system
of equations which can admit some particular solutions of the Toda lattice. We
give one parameter family of exact solutions, which include as special cases
the Toda lattice solutions as well as the Whitham's solutions in the Newell's
model. Our solutions can be used to describe temporal-spatial density patterns
observed in the optimal velocity model for traffic flow.Comment: Latex, 13 pages, 1 figur
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