244 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
Exact Renormalization of Massless QED2
We perform the exact renormalization of two-dimensional massless gauge
theories. Using these exact results we discuss the cluster property and
confinement in both the anomalous and chiral Schwinger models.Comment: 14 pages, no figures, introduction and conclusions modifie
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