452 research outputs found
The Energy of Scattering Solitons in the Ward Model
The energy density of a scattering soliton solution in Ward's integrable
chiral model is shown to be instantaneously the same as the energy density of a
static multi-lump solution of the \CP^3 sigma model. This explains the
quantization of the total energy in the Ward model.Comment: 12 pages, 2 figure
SU(5) Gravitating Monopoles
Spherically symmetric solutions of the SU(5) Einstein-Yang-Mills-Higgs system
are constructed using the harmonic map ansatz \cite{IS}. This way the problem
reduces to solving a set of ordinary differential equations for the appropriate
profile functions.Comment: 12 pages, 3 Figure
Skyrmions, Rational Maps & Scaling Identities
Starting from approximate Skyrmion solutions obtained using the rational map
ansatz, improved approximate Skyrmions are constructed using scaling arguments.
Although the energy improvement is small, the change of shape clarifies whether
the true Skyrmions are more oblate or prolate.Comment: 13 pages, 3 figure
Low Energy States in the SU(N) Skyrme Models
We show that any solution of the SU(2) Skyrme model can be used to give a
topologically trivial solution of the SU(4) one. In addition, we extend the
method introduced by Houghton et al. and use harmonic maps from S2 to CP(N-1)
to construct low energy configurations of the SU(N) Skyrme models. We show that
one of such maps gives an exact, topologically trivial, solution of the SU(3)
model. We study various properties of these maps and show that, in general,
their energies are only marginally higher than the energies of the
corresponding SU(2) embeddings. Moreover, we show that the baryon (and energy)
densities of the SU(3) configurations with baryon number B=2-4 are more
symmetrical than their SU(2) analogues. We also present the baryon densities
for the B=5 and B=6 configurations and discuss their symmetries.Comment: latex : 25 pages, 9 Postscript figures, uses eps
Class of Exact Solutions of the SU(3) Skyrme Model
Recently, Hirayama and Yamashita have presented an ansatz that allows us to
construct a class of solutions for the SU(2) Skyrme model. Though these
solutions are not solitonic, they provide us with an example on how the plane
wave solutions arise in nonlinear field theories. In this paper, we investigate
the applicability of the ansatz for the SU(3) Skyrme model. We explicitly
construct a class of solutions for the SU(3) model, which in the simplest
circumstance is reduced to a combination of the plane waves and Weierstrass
elliptic functions. We also discuss some properties of these solutions. For
example, the intrinsic structure of these solutions is found to describe an
asymmetrical top rotating in the complex three-dimensional space.Comment: 15 pages, no figur
Stock prices and output growth: an examination of the credit channel
When stock market values fall, we know that investors expect lower economic growth in the future. But can stock market declines actually affect future growth? There is some evidence that they can-through the credit channel.Stock - Prices
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