4,096 research outputs found
Topological Excitation in Skyrme Theory
Based on the -mapping topological current theory and the decomposition
of gauge potential theory, we investigate knotted vortex lines and monopoles in
Skyrme theory and simply discuss the branch processes (splitting, merging and
intersection) during the evolution of the monopoles.Comment: 10 pages, 0 figure
Topological structure of the many vortices solution in Jackiw-Pi model
We construct an M-solitons solutions in Jackiw-Pi model depends on 5M
parameters(two positions, one scale, one phase per solition and one charge of
each solution). By using \phi -mapping method, we discuss the topological
structure of the self-duality solution in Jackiw-Pi model in terms of gauge
potential decomposition. We set up relationship between Chern-Simons vortices
solution and topological number which is determined by Hopf indices and and
Brouwer degrees. We also give the quantization of flux in this case.Comment: 14 pages, 4 figure
Gravitational Corrections to the Energy-Levels of a Hydrogen Atom
The first order perturbations of the energy levels of a hydrogen atom in
central internal gravitational field are investigated. The internal
gravitational field is produced by the mass of the atomic nucleus. The energy
shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P, 3D, 4S and 4P
levels with Schwarzschild metric. The calculated results show that the
gravitational corrections are sensitive to the total angular momentum quantum
number.Comment: 7 page
Energy-momentum for Randall-Sundrum models
We investigate the conservation law of energy-momentum for Randall-Sundrum
models by the general displacement transform. The energy-momentum current has a
superpotential and are therefore identically conserved. It is shown that for
Randall-Sundrum solution, the momentum vanishes and most of the bulk energy is
localized near the Planck brane. The energy density is .Comment: 13 pages, no figures, v4: introduction and new conclusion added, v5:
11 pages, title changed and references added, accepted by Mod. Phys. Lett.
Magnetic Monopoles in Ferromagnetic Spin-Triplet Superconductors
Using the -mapping method, we argue that ferromagnetic spin-triplet
superconductors allow formation of unstable magnetic monopoles. In particular,
we show that the limit points and the bifurcation points of the -mapping
will serve as the interaction points of these magnetic monopoles.Comment: 4 pages, no figure
Fermions in gravity and gauge backgrounds on a brane world
We solve the fermionic zero modes in gravity and gauge backgrounds on a brane
involving a warped geometry, and study the localization of spin 1/2 fermionic
field on the brane world. The result is that there exist massless spin 1/2
fermions which can be localized on the bulk with the exponentially decreasing
warp factor if including U(1) gauge background. Two special cases of gauge
backgrounds on the extra dimensional manifold are discussed.Comment: 11 pages, no figures, final versio
Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
We give an argument for deriving analytically the infrared ``Abelian''
dominance in a gauge invariant way for the Wilson loop average in SU(2)
Yang--Mills theory. In other words, we propose a possible mechanism for
realizing the dynamical Abelian projection in the SU(2) gauge-invariant manner
without breaking color symmetry. This supports validity of the dual
superconductivity picture for quark confinement. We also discuss the stability
of the vacuum with magnetic condensation as a by-product of this result.Comment: 25 pages, 3 figures (4 eps files); version accepted for publication
in Phys.Rev.D; One paragraph is added at each end of sections 3,4 and 5 for
comparing the analytical result with the lattice results of my group based on
the new formulation, together with the results in the conventional MAG if
available. footnote 4 is added, and a reference is added. A number of
sentences and phrases are improve
Separability and entanglement of four-mode Gaussian states
The known Peres-Horodecki criterion and scaling criterion of separability are
considered on examples of three-mode and four-mode Gaussian states of
electromagnetic field. It is shown that the principal minors of the photon
quadrature dispersion matrix are sensitive to the change of scaling parameters.
An empirical observation has shown that the bigger the modulus of negative
principal minors, the more entangled the state.Comment: 14 pages, 11 figure
Modified London Equation, Abrikosov-Like Vortices and Knot Solitons in Two-Gap Superconductors
We derive the exact modified London equation for the two-gap superconductor,
compare it with its single-gap counterpart. We show that the vortices in the
two-gap superconductor are soft (or continuous) core vortices. In particular,
we discuss the topological structure of the finite energy vortices
(Abrikosov-like vortices), and find that they can be viewed as the incarnation
of the baby skyrmion stretched in the third direction. Besides, we point out
that the knot soliton in the two-gap superconductor is the twisted
Abrikosov-like vortex with its two periodic ends connected smoothly. The
relation between the magnetic monopoles and the Abrikosov-like vortices is also
discussed briefly.Comment: 3 pages, no figure
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