433 research outputs found
Static Hopfions in the extended Skyrme-Faddeev model
We construct static soliton solutions with non-zero Hopf topological charges
to a theory which is an extension of the Skyrme-Faddeev model by the addition
of a further quartic term in derivatives. We use an axially symmetric ansatz
based on toroidal coordinates, and solve the resulting two coupled non-linear
partial differential equations in two variables by a successive over-relaxation
(SOR) method. We construct numerical solutions with Hopf charge up to four, and
calculate their analytical behavior in some limiting cases. The solutions
present an interesting behavior under the changes of a special combination of
the coupling constants of the quartic terms. Their energies and sizes tend to
zero as that combination approaches a particular special value. We calculate
the equivalent of the Vakulenko and Kapitanskii energy bound for the theory and
find that it vanishes at that same special value of the coupling constants. In
addition, the model presents an integrable sector with an infinite number of
local conserved currents which apparently are not related to symmetries of the
action. In the intersection of those two special sectors the theory possesses
exact vortex solutions (static and time dependent) which were constructed in a
previous paper by one of the authors. It is believed that such model describes
some aspects of the low energy limit of the pure SU(2) Yang-Mills theory, and
our results may be important in identifying important structures in that strong
coupling regime.Comment: 22 pages, 42 figures, minor correction
On the Strong Coupling Limit of the Faddeev-Hopf Model
The variational calculus for the Faddeev-Hopf model on a general Riemannian
domain, with general Kaehler target space, is studied in the strong coupling
limit. In this limit, the model has key similarities with pure Yang-Mills
theory, namely conformal invariance in dimension 4 and an infinite dimensional
symmetry group. The first and second variation formulae are calculated and
several examples of stable solutions are obtained. In particular, it is proved
that all immersive solutions are stable. Topological lower energy bounds are
found in dimensions 2 and 4. An explicit description of the spectral behaviour
of the Hopf map S^3 -> S^2 is given, and a conjecture of Ward concerning the
stability of this map in the full Faddeev-Hopf model is proved.Comment: 21 pages, 0 figure
Gauge Dependence of Mass and Condensate in Chirally Asymmetric Phase of Quenched QED3
We study three dimensional quenched Quantum Electrodynamics in the bare
vertex approximation. We investigate the gauge dependence of the dynamically
generated Euclidean mass of the fermion and the chiral condensate for a wide
range of values of the covariant gauge parameter . We find that (i) away
from , gauge dependence of the said quantities is considerably reduced
without resorting to sophisticated vertex {\em ansatze}, (ii) wavefunction
renormalization plays an important role in restoring gauge invariance and (iii)
the Ward-Green-Takahashi identity seems to increase the gauge dependence when
used in conjunction with some simplifying assumptions. In the Landau gauge, we
also verify that our results are in agreement with those based upon dimensional
regularization scheme within the numerical accuracy available.Comment: 14 pages, 11 figures, uses revte
Landau-Khalatnikov-Fradkin Transformations and the Fermion Propagator in Quantum Electrodynamics
We study the gauge covariance of the massive fermion propagator in three as
well as four dimensional Quantum Electrodynamics (QED). Starting from its value
at the lowest order in perturbation theory, we evaluate a non-perturbative
expression for it by means of its Landau-Khalatnikov-Fradkin (LKF)
transformation. We compare the perturbative expansion of our findings with the
known one loop results and observe perfect agreement upto a gauge parameter
independent term, a difference permitted by the structure of the LKF
transformations.Comment: 9 pages, no figures, uses revte
Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies
We study exact multi-soliton solutions of integrable hierarchies on
noncommutative space-times which are represented in terms of quasi-determinants
of Wronski matrices by Etingof, Gelfand and Retakh. We analyze the asymptotic
behavior of the multi-soliton solutions and found that the asymptotic
configurations in soliton scattering process can be all the same as commutative
ones, that is, the configuration of N-soliton solution has N isolated localized
energy densities and the each solitary wave-packet preserves its shape and
velocity in the scattering process. The phase shifts are also the same as
commutative ones. Furthermore noncommutative toroidal Gelfand-Dickey hierarchy
is introduced and the exact multi-soliton solutions are given.Comment: 18 pages, v3: references added, version to appear in JHE
Simulation of dimensionality effects in thermal transport
The discovery of nanostructures and the development of growth and fabrication
techniques of one- and two-dimensional materials provide the possibility to
probe experimentally heat transport in low-dimensional systems. Nevertheless
measuring the thermal conductivity of these systems is extremely challenging
and subject to large uncertainties, thus hindering the chance for a direct
comparison between experiments and statistical physics models. Atomistic
simulations of realistic nanostructures provide the ideal bridge between
abstract models and experiments. After briefly introducing the state of the art
of heat transport measurement in nanostructures, and numerical techniques to
simulate realistic systems at atomistic level, we review the contribution of
lattice dynamics and molecular dynamics simulation to understanding nanoscale
thermal transport in systems with reduced dimensionality. We focus on the
effect of dimensionality in determining the phononic properties of carbon and
semiconducting nanostructures, specifically considering the cases of carbon
nanotubes, graphene and of silicon nanowires and ultra-thin membranes,
underlying analogies and differences with abstract lattice models.Comment: 30 pages, 21 figures. Review paper, to appear in the Springer Lecture
Notes in Physics volume "Thermal transport in low dimensions: from
statistical physics to nanoscale heat transfer" (S. Lepri ed.
Renormalization and Chiral Symmetry Breaking in Quenched QED in Arbitrary Covariant Gauge
We extend a previous Landau-gauge study of subtractive renormalization of the
fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched
QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex
proposed by Curtis and Pennington with an additional correction term included
to compensate for the small gauge-dependence induced by the ultraviolet
regulator. We discuss the chiral limit and the onset of dynamical chiral
symmetry breaking in the presence of nonperturbative renormalization. We
extract the critical coupling in several different gauges and find evidence of
a small residual gauge-dependence in this quantity.Comment: REVTEX 3.0, 27 pages including 14 Extended Postscript files
comprising 9 figures. Replacement: discussion of chiral limit corrected, and
some minor typographical errors fixed. To appear in Phys. Rev.
Comportamento vegetativo e produtivo da videira e composição da uva em São Joaquim, Santa Catarina
O objetivo deste trabalho foi avaliar o comportamento vegetativo e produtivo das variedades de videira Cabernet Sauvignon, Merlot e Sauvignon Blanc, e a composição da uva em São Joaquim, Santa Catarina. Foram avaliadas plantas de um vinhedo comercial, cultivado em espaldeira, a 1.293 m de altitude, durante os ciclos fenológicos 2005/2006 e 2006/2007. As variáveis meteorológicas, a fenologia, o desenvolvimento do dossel e a composição da uva na colheita foram comparados entre os ciclos. As temperaturas mais amenas influenciaram o ciclo fenológico das variedades Cabernet Sauvignon, Merlot e Sauvignon Blanc, que é mais longo e tardio que nas outras regiões vitícolas do Brasil. Houve influência significativa da precipitação pluvial sobre a maturação da uva, no ciclo 2006/2007. Os índices de desenvolvimento indicam a necessidade de ajuste no manejo do dossel para um maior equilíbrio entre o crescimento vegetativo e a produção. As variedades Cabernet Sauvignon, Merlot e Sauvignon Blanc apresentam elevada qualidade da uva no momento da colheita, sendo adequadas ao cultivo em São Joaquim, SC
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