38,478 research outputs found
Chiral Lagrangian and spectral sum rules for dense two-color QCD
We analytically study two-color QCD with an even number of flavors at high
baryon density. This theory is free from the fermion sign problem. Chiral
symmetry is broken spontaneously by the diquark condensate. Based on the
symmetry breaking pattern we construct the low-energy effective Lagrangian for
the Nambu-Goldstone bosons. We identify a new epsilon-regime at high baryon
density in which the quark mass dependence of the partition function can be
determined exactly. We also derive Leutwyler-Smilga-type spectral sum rules for
the complex eigenvalues of the Dirac operator in terms of the fermion gap. Our
results can in principle be tested in lattice QCD simulations.Comment: 24 pages, 1 table, no figur
Relation between fundamental estimation limit and stability in linear quantum systems with imperfect measurement
From the noncommutative nature of quantum mechanics, estimation of canonical
observables and is essentially restricted in its
performance by the Heisenberg uncertainty relation, \mean{\Delta
\hat{q}^2}\mean{\Delta \hat{p}^2}\geq \hbar^2/4. This fundamental lower-bound
may become bigger when taking the structure and quality of a specific
measurement apparatus into account. In this paper, we consider a particle
subjected to a linear dynamics that is continuously monitored with efficiency
. It is then clarified that the above Heisenberg uncertainty
relation is replaced by \mean{\Delta \hat{q}^2}\mean{\Delta \hat{p}^2}\geq
\hbar^2/4\eta if the monitored system is unstable, while there exists a stable
quantum system for which the Heisenberg limit is reached.Comment: 4 page
Hadron-quark continuity induced by the axial anomaly in dense QCD
We investigate the interplay between the chiral and diquark condensates on
the basis of the Ginzburg-Landau potential with QCD symmetry. We demonstrate
that the axial anomaly drives a new critical point at low temperature in the
QCD phase diagram and leads to a smooth crossover between the hadronic and
color superconducting phases.Comment: 4 pages, 5 figures, to appear in the Proceedings of Quark Matter 2006
held in Shangha
Effect of tangential traction and roughness on crack initiation/propagation during rolling contact
Rolling fatigue tests of 0.45 percent carbon steel rollers were carried out using a four roller type rolling contact fatigue tester. Tangential traction and surface roughness of the harder mating rollers were varied and their effect was studied. The results indicate that the fatigue life decreases when fraction is applied in the same direction as that of rolling. When the direction of fraction is reversed, the life increases over that obtained with zero traction. The roughness of harder mating roller also has a marked influence on life. The smoother the mating roller, the longer the life. Microscopic observation of specimens revealed that the initiation of cracks during the early stages of life is more strongly influenced by the surface roughness, while the propagation of these cracks in the latter stages is affected mainly by the tangential traction
Certifying isolated singular points and their multiplicity structure
This paper presents two new constructions related to singular solutions of
polynomial systems. The first is a new deflation method for an isolated
singular root. This construc-tion uses a single linear differential form
defined from the Jacobian matrix of the input, and defines the deflated system
by applying this differential form to the original system. The advantages of
this new deflation is that it does not introduce new variables and the increase
in the number of equations is linear instead of the quadratic increase of
previous methods. The second construction gives the coefficients of the
so-called inverse system or dual basis, which defines the multiplicity
structure at the singular root. We present a system of equations in the
original variables plus a relatively small number of new vari-ables. We show
that the roots of this new system include the original singular root but now
with multiplicity one, and the new variables uniquely determine the
multiplicity structure. Both constructions are "exact", meaning that they
permit one to treat all conjugate roots simultaneously and can be used in
certification procedures for singular roots and their multiplicity structure
with respect to an exact rational polynomial system
Combined effect of frustration and dimerization in ferrimagnetic chains and square lattice
Within the zero-temperature linear spin-wave theory we have investigated the
effect of frustration and dimerization of a Heisenberg system with alternating
spins and on one- and two-dimensional lattices. The combined
effect most visibly appears in the elementary excitation spectra. In contrast
to the ground state energy that decreases with dimerization and increases with
frustration, the excitation energies are shown to be suppressed in energy by
both dimerization and frustration. The threshold value of frustration that
signals a transition from a classical ferrimagnetic state to a spiral state,
decreases with dimerization, showing that dimerization further helps in the
phase transition. The correlation length and sublattice magnetization decrease
with both dimerization and frustration indicating the destruction of the
long-range classical ferrimagnetic. The linear spin wave theory shows that in
the case of a square lattice, dimerization initially opposes the
frustration-led transition to a spiral magnetic state, but then higher
magnitudes of lattice deformation facilitate the transition. It also shows that
the transition to spiral state is inhibited in a square lattice beyond a
certain value of dimerization.Comment: 8 pages, latex, 12 postscript figure
Hyperon mixing and universal many-body repulsion in neutron stars
A multi-pomeron exchange potential (MPP) is proposed as a model for the
universal many-body repulsion in baryonic systems on the basis of the Extended
Soft Core (ESC) bryon-baryon interaction. The strength of MPP is determined by
analyzing the nucleus-nucleus scattering with the G-matrix folding model. The
interaction in channels is shown to reproduce well the experimental
binding energies. The equation of state (EoS) in neutron matter with
hyperon mixing is obtained including the MPP contribution, and mass-radius
relations of neutron stars are derived. It is shown that the maximum mass can
be larger than the observed one even in the case of including
hyperon mixing on the basis of model-parameters determined by terrestrial
experiments
First-order quantum correction to the Larmor radiation from a moving charge in a spatially homogeneous time-dependent electric field
First-order quantum correction to the Larmor radiation is investigated on the
basis of the scalar QED on a homogeneous background of time-dependent electric
field, which is a generalization of a recent work by Higuchi and Walker so as
to be extended for an accelerated charged particle in a relativistic motion. We
obtain a simple approximate formula for the quantum correction in the limit of
the relativistic motion when the direction of the particle motion is parallel
to that of the electric field.Comment: 12 pages, 2 figures, accepted for publication in Physical Review
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