89 research outputs found
Dyons of One Half Monopole Charge
We would like to present some exact SU(2) Yang-Mills-Higgs dyon solutions of
one half monopole charge. These static dyon solutions satisfy the first order
Bogomol'nyi equations and are characterized by a parameter, . They are
axially symmetric. The gauge potentials and the electromagnetic fields possess
a string singularity along the negative z-axis and hence they possess infinite
energy density along the line singularity. However the net electric charges of
these dyons which varies with the parameter are finite.Comment: 16 pages, 7 figure
Static Monopoles and Their Anti-Configurations
Recently, we have reported on the existence of some monopoles, multimonopole,
and antimonopoles configurations. In this paper we would like to present more
monopoles, multimonopole, and antimonopoles configurations of the magnetic
ansatz of Ref.\cite{kn:9} when the parameters and of the solutions
takes different serial values. These exact solutions are a different kind of
BPS solution. They satisfy the first order Bogomol'nyi equation but possess
infinite energy. They can have radial, axial, or rotational symmetry about the
z-axis. We classified these serial solutions as (i) the multimonopole at the
origin; (ii) the finitely separated 1-monopoles; (iii) the screening solutions
of multimonopole and (iv) the axially symmetric monopole solutions. We also
give a construction of their anti-configurations with all the magnetic charges
of poles in the configurations reversed. Half-integer topological magnetic
charge multimonopole also exist in some of these series of solutions.Comment: 20 pages with 4 figure
Generalized Jacobi Elliptic One-Monopole - Type A
We present new classical generalized one-monopole solution of the SU(2)
Yang-Mills-Higgs theory with the Higgs field in the adjoint representation. We
show that this generalized solution with -winding number and
-winding number is an axially symmetric Jacobi elliptic
generalization of the 't Hooft-Polyakov one-monopole. We construct this axially
symmetric one-monopole solution by generalizing the large distance asymptotic
solution of the 't Hooft-Polyakov one-monopole to the Jacobi elliptic functions
and solving the second order equations of motion numerically when the Higgs
potential is vanishing and non vanishing. These solutions are regular non-BPS
finite energy solutions.Comment: 17 pages, 5 figure
Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases
We show that for rotating harmonically trapped Bose gases in a fractional
quantum Hall state, the anyonic excitation statistics in the rotating gas can
effectively play a {\em dynamical} role. For particular values of the
two-dimensional coupling constant , where is a
positive integer, the system becomes a noninteracting gas of anyons, with
exactly obtainable solutions satisfying Bogomol'nyi self-dual order parameter
equations. Attractive Bose gases under rapid rotation thus can be stabilized in
the thermodynamic limit due to the anyonic statistics of their quasiparticle
excitations.Comment: 4 pages of RevTex4; as published in Physical Review Letter
A discrete phi^4 system without Peierls-Nabarro barrier
A discrete phi^4 system is proposed which preserves the topological lower
bound on the kink energy. Existence of static kink solutions saturating this
lower bound and occupying any position relative to the lattice is proved.
Consequently, kinks of the model experience no Peierls-Nabarro barrier, and can
move freely through the lattice without being pinned. Numerical simulations
reveal that kink dynamics in this system is significantly less dissipative than
that of the conventional discrete phi^4 system, so that even on extremely
coarse lattices the kink behaves much like its continuum counterpart. It is
argued, therefore, that this is a natural discretization for the purpose of
numerically studying soliton dynamics in the continuum phi^4 model.Comment: 8 pages, LaTeX, 8 postscript figure
Half-Monopole and Multimonopole
We would like to present some exact SU(2) Yang-Mills-Higgs monopole solutions
of half-integer topological charge. These solutions can be just an isolated
half-monopole or a multimonopole with topological magnetic charge, ,
where is a natural number. These static monopole solutions satisfy the
first order Bogomol'nyi equations. The axially symmetric one-half monopole
gauge potentials possess a Dirac-like string singularity along the negative
z-axis. The multimonopole gauge potentials are also singular along the z-axis
and possess only mirror symmetries.Comment: 12 pages and 4 figures; typos corrected, reference adde
SU(2) gauged Skyrme-monopoles in scalar-tensor gravity
Considering a Skyrme model with a peculiar gauging of the symmetry,
monopole-like solutions exist through a topological lower bound. However, it
was recently shown that these objects cannot form bound states in the limit of
vanishing Skyrme coupling. Here we consider these monopoles in scalar-tensor
gravity. A numerical study of the equations reveals that neither the coupling
to gravity nor to the scalar dilaton nor to dilaton-gravity leads to bound
multimonopole states.Comment: 9 Revtex pages, 2 PS-figures; formular added, typos correcte
Kink dynamics in a novel discrete sine-Gordon system
A spatially-discrete sine-Gordon system with some novel features is
described. There is a topological or Bogomol'nyi lower bound on the energy of a
kink, and an explicit static kink which saturates this bound. There is no
Peierls potential barrier, and consequently the motion of a kink is simpler,
especially at low speeds. At higher speeds, it radiates and slows down.Comment: 10 pages, 7 figures, archivin
A note on the existence of soliton solutions in the Chern-Simons-CP(1) model
We study a gauged Chern-Simons-CP(1) system. We show that contrary to
previous claims the model in the absences of a potential term cannot support
finite size soliton solution in .Comment: 12 pages, 5 figure
Exact String-like Solutions of the Gauged Nonlinear O(3) Model
We show that the least energy conditions in the gauged nonlinear sigma model
with Chern-Simons term lead to exact soliton-like solutions which have the same
features as domain walls. We will derive and discuss the corresponding
solutions, and compute the total energy, charge, and spin of the resulting
system.Comment: 7 pages, 5 figure
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