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In this work, we propose a model based on a non-minimal coupling of neutrinos to a Kalb-Ramond field. The latter is taken as a possible source for gravitational radiation. As an immediate illustration of this system, we have studied the case where gravitational (plane) wave solutions behave as damped harmonic oscillators. [ABSTRACT FROM AUTHOR]

We start from a Lorentz noninvariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to D = 1+2. The planar model resulting thereof is composed by a Maxwell—Chern—Simons–Proca gauge sector, a massive scalar sector, and a mixing term (involving the fixed background, vμ) that realizes Lorentz violation for the reduced model. Vortex-type solutions of the planar model are investigated, revealing charged vortex configurations that recover the usual Nielsen–Olesen configuration in the asymptotic regime. The Aharonov–Casher Effect in layered superconductors, that shows interference of neutral particles with a magnetic moment moving around a line charge, is also studied. Our charged vortex solutions exhibit a screened electric field that induces the same phase shift as the one caused by the charged wire. [ABSTRACT FROM AUTHOR]

We consider a parity-preserving QED[sub 3] model with spontaneous breaking of the gauge symmetry as a framework for the evaluation of the electron-electron interaction potential underlying high-T[sub c] superconductivity. The fact that the resulting potential, -C[sub s]K[sub 0](Mr), is non-confining and "weak" (in the sense of Kato) strongly suggests the mechanism of pair-condensation. This potential, compatible with an s-wave order parameter, is then applied to the Schrödinger equation for the sake of numerical calculations, thereby enforcing the existence of bound states. The results worked out by means of our theoretical framework are checked by considering a number of phenomenological data extracted from different copper oxide superconductors. The agreement may motivate a deeper analysis of our model viewing an application to quasiplanar cuprate superconductors. The data analyzed here suggest an energy scale of 1-10 meV for the breaking of the U(1)-symmetry. [ABSTRACT FROM AUTHOR]

One discusses the issue of low-energy electron-electron bound states in the MaxwellChern-Simons model coupled to QED[sub 3] with spontaneous breaking of a local U(1)symmetry. The scattering potential, in the nonrelativistic limit, stemming from the electron-electron Møller scattering, mediated by the Maxwell-Chern-Simons-Proca gauge field and the Higgs scalar, might be attractive by properly fine-tuning the physical parameters of the model. [ABSTRACT FROM AUTHOR]

An Abelian gauge model, with vector and two-form potential fields linked by a topological mass term mixing the two Abelian factors, is shown to exhibit Dirac-like magnetic monopoles in the presence of a matter background. In addition, considering a "nonminimal coupling" between the fermions and the tensor fields, we obtain a generalized quantization condition that involves, among others, the topological mass parameter. Also, it is explicitly shown that one-loop (finite) corrections do not shift the value of such a mass parameter. [ABSTRACT FROM AUTHOR]

We find self-dual vortex solutions in a Maxwell-Chern-Simons model with anomalous magnetic moment. From a recently developed N = 2 supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing both topological and nontopological phases in the theory. [ABSTRACT FROM AUTHOR]

An N = 1-supersymmetric version of the Cremmer-Scherk-Kalb-Ramond model with nonminimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the (N = 2)-(D = 3) counterpart of the model comes out, with two main features: a genuine (diagonal) Chern-Simons term and an anomalous magnetic moment coupling between matter and the gauge potential. [ABSTRACT FROM AUTHOR]