2,023 research outputs found
Character Expansion Methods for Matrix Models of Dually Weighted Graphs
We consider generalized one-matrix models in which external fields allow
control over the coordination numbers on both the original and dual lattices.
We rederive in a simple fashion a character expansion formula for these models
originally due to Itzykson and Di Francesco, and then demonstrate how to take
the large N limit of this expansion. The relationship to the usual matrix model
resolvent is elucidated. Our methods give as a by-product an extremely simple
derivation of the Migdal integral equation describing the large limit of
the Itzykson-Zuber formula. We illustrate and check our methods by analyzing a
number of models solvable by traditional means. We then proceed to solve a new
model: a sum over planar graphs possessing even coordination numbers on both
the original and the dual lattice. We conclude by formulating equations for the
case of arbitrary sets of even, self-dual coupling constants. This opens the
way for studying the deep problem of phase transitions from random to flat
lattices.Comment: 22 pages, harvmac.tex, pictex.tex. All diagrams written directly into
the text in Pictex commands. (Two minor math typos corrected.
Acknowledgements added.
Long-lived Charginos in the Focus-point Region of the MSSM Parameter Space
We analyse the possibility to get light long-lived charginos within the
framework of the MSSM with gravity mediated SUSY breaking. We find out that
this possibility can be realized in the so-called focus-point region of
parameter space. The mass degeneracy of higgsino-like chargino and two
higgsino-like neutralinos is the necessary condition for a long lifetime. It
requires the fine-tuning of parameters, but being a single additional
constraint in the whole parameter space it can be fulfilled in the Constrained
MSSM along the border line where radiative electroweak symmetry breaking fails.
In a narrow band close to the border line the charginos are long-lived
particles. The cross-sections of their production and co-production at the LHC
via electroweak interaction reach a few tenth of pb.Comment: LaTeX, 11 pages, 11 eps figure
Mass enhancement, correlations, and strong coupling superconductivity in the beta-pyrochlore KOs2O6
To assess electron correlation and electron-phonon coupling in the recently
discovered beta-pyrochlores KOs2O6 and RbOs2O6, we have performed specific heat
measurements in magnetic fields up to 14 T. We present data from high quality
single crystalline KOs2O6, showing that KOs2O6 is a strong coupling
superconductor with a coupling parameter lambda_ep \approx 1.0 to 1.6 (RbOs2O6:
lambda_ep \approx 1). The estimated Sommerfeld coefficient of KOs2O6, gamma=76
to 110 mJ/(mol K^2), is twice that of RbOs2O6 [gamma=44 mJ/(mol K^2)]. Using
strong-coupling corrections, we extract useful thermodynamic parameters of
KOs2O6. Quantifying lambda_ep allows us to determine the mass enhancement over
the calculated band electronic density of states. A significant contribution in
addition to the electron-phonon term of lambda_c=1.7 to 4.3 is deduced. In an
effort to understand the origin of the enhancement mechanism, we also
investigate an unusual energetically low-lying phonon. There are three phonon
modes per RbOs2O6, suggestive of the phonon source being the rattling motion of
the alkali ion. This dynamic instability of the alkali ions causes large
scattering of the charge carriers which shows up in an unusual temperature
dependence of the electrical resistivity.Comment: Accepted for publication in PR
Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model
We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur
model, that describes dynamics in a food chain "prey-predator-superpredator".
It is well-known that spiral attractors having a "teacup" geometry are typical
for this model at certain values of parameters for which the system can be
considered as slow-fast system. We show that these attractors appear due to the
Shilnikov scenario, the first step in which is associated with a supercritical
Andronov-Hopf bifurcation and the last step leads to the appearance of a
homoclinic attractor containing a homoclinic loop to a saddle-focus equilibrium
with two-dimension unstable manifold. It is shown that the homoclinic spiral
attractors together with the slow-fast behavior give rise to a new type of
bursting activity in this system. Intervals of fast oscillations for such type
of bursting alternate with slow motions of two types: small amplitude
oscillations near a saddle-focus equilibrium and motions near a stable slow
manifold of a fast subsystem. We demonstrate that such type of bursting
activity can be either chaotic or regular
Production of Long-Lived Sleptons at LHC
We analyse the MSSM parameter space and discuss the narrow band near the
so-called co-annihilation region where sleptons may be long-lived particles.
This region is consistent with the WMAP restrictions on the Dark matter and
depends on the value of . In this region staus are long-lived and
may go through the detector. Due to a relatively small mass (150 850
GeV) their production cross-section at LHC may reach a few % pb.Comment: LaTex, 8 pages, 6 eps figure
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