3,339 research outputs found
Compatible Poisson Structures of Toda Type Discrete Hierarchy
An algebra isomorphism between algebras of matrices and difference operators
is used to investigate the discrete integrable hierarchy. We find local and
non-local families of R-matrix solutions to the modified Yang-Baxter equation.
The three R-theoretic Poisson structures and the Suris quadratic bracket are
derived. The resulting family of bi-Poisson structures include a seminal
discrete bi-Poisson structure of Kupershmidt at a special value.Comment: 22 pages, LaTeX, v3: Minor change
Isospin Symmetry Breaking and the -System
Simple quark models for the low lying vector mesons suggest a mixing between
the u- and d-flavors and a violation of the isospin symmetry for the
- system much stronger than observed. It is shown that the chiral
dynamics, especially the QCD anomaly, is responsible for a restoration of the
isospin symmetry in the -system.Comment: 4 pages, espcrc2.st
Magnetic and electric properties in the distorted tetrahedral spin chain system Cu3Mo2O9
We study the multiferroic properties in the distorted tetrahedral quasi-one
dimensional spin system CuMoO, in which the effects of the low
dimensionality and the magnetic frustration are expected to appear
simultaneously. We clarify that the antiferromagnetic order is formed together
with ferroelectric properties at K under zero magnetic field
and obtain the magnetic-field-temperature phase diagram by measuring dielectric
constant and spontaneous electric polarization. It is found that the
antiferromagnetic phase possesses a spontaneous electric polarization parallel
to the c axis when the magnetic field is applied parallel to the a axis. On
the other hand, there are three different ferroelectric phases in the
antiferromagnetic phase for parallel to the c axis.Comment: 4 pages, 3 figures, LT26 proceedings, accepted for publication in J.
Phys.: Conf. Se
Universal properties of highly frustrated quantum magnets in strong magnetic fields
The purpose of the present paper is two-fold. On the one hand, we review some
recent studies on the low-temperature strong-field thermodynamic properties of
frustrated quantum spin antiferromagnets which admit the so-called
localized-magnon eigenstates. One the other hand, we provide some complementary
new results. We focus on the linear independence of the localized-magnon
states, the estimation of their degeneracy with the help of auxiliary classical
lattice-gas models and the analysis of the contribution of these states to
thermodynamics.Comment: Paper based on the invited talk given by J. Richter at the
International Conference "Statistical Physics 2006. Condensed Matter: Theory
and Applications" dedicated to the 90th anniversary of Ilya Lifshitz
(Kharkiv, 11-15 September, 2006
The Ideal Mixing Departure in Vector Meson Physics
In this work we study the departure for the ideal mixing angle
in the frame of the Nambu-Jona-Lasinio model. We have shown that in that
context, the flavour symmetry breaking is unable to produce the shifting in the
mixing angle. We introduce a nonet symmetry breaking in the neutral vector
sector to regulate the non-strange content of the meson. The phenomenon
is well reproduced by our proposal.Comment: 12 pages incl. 1 figur
- …