482,154 research outputs found
Trapping of Spin-0 fields on tube-like topological defects
We have considered the localization of resonant bosonic states described by a
scalar field trapped in tube-like topological defects. The tubes are
formed by radial symmetric defects in dimensions, constructed with two
scalar fields and , and embedded in the dimensional
Minkowski spacetime. The general coupling between the topological defect and
the scalar field is given by the potential .
After a convenient decomposition of the field , we find that the
amplitudes of the radial modes satisfy Schr\"odinger-like equations whose
eigenvalues are the masses of the bosonic resonances. Specifically, we have
analyzed two simple couplings: the first one is for a
fourth-order potential and, the second one is a sixth-order interaction
characterized by % . In both cases the
Schr\"odinger-like equations are numerically solved with appropriated boundary
conditions. Several resonance peaks for both models are obtained and the
numerical analysis showed that the fourth-order potential generates more
resonances than the sixth-order one.Comment: 7 pages, 10 figures, matches version published in Physics Letters
Structural properties of crumpled cream layers
The cream layer is a complex heterogeneous material of biological origin
which forms spontaneously at the air-milk interface. Here, it is studied the
crumpling of a single cream layer packing under its own weight at room
temperature in three-dimensional space. The structure obtained in these
circumstances has low volume fraction and anomalous fractal dimensions. Direct
means and noninvasive NMR imaging technique are used to investigate the
internal and external structure of these systems.Comment: 9 pages, 4 figures, accepted in J. Phys. D: Appl. Phy
Duality and fields redefinition in three dimensions
We analyze local fields redefinition and duality for gauge field theories in
three dimensions. We find that both Maxwell-Chern-Simons and the Self-Dual
models admits the same fields redefinition. Maxwell-Proca action and its dual
also share this property. We show explicitly that a gauge-fixing term has no
influence on duality and fields redefinition.Comment: 8 pages, suppressed contents. To appear in J. Phys.
Grassmanian and Bosonic Thirring Models with Jump Defects
In this paper we discuss the Lax formulation of the Grassmanian and Bosonic
Thirring models in the presence of jump defects. For the Grassmanian case, the
defect is described by B\"acklund transformation which is responsible for
preserving the integrability of the model.
We then propose an extension of the B\"acklund transformation for the Bosonic
Thirring model which is verified by some B\"acklund transitions like
Vacuum-One soliton, One soliton - One soliton, One soliton - Two solitons and
Two solitons - Two solitons. The Lax formulation within the space split by the
defect leads to the integrability of Bosonic Thirring model.Comment: Latex 21 page
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