H. Belich

Magnetic moment generation from non-minimal couplings in a scenario with Lorentz-symmetry violation

AbstractThis paper deals with situations that illustrate how the violation of Lorentz symmetry in the gauge sector may contribute to magnetic moment generation of massive neutral particles with spin-

Aspects of causality and unitarity and comments on vortexlike configurations in an Abelian model with a Lorentz-breaking term

\frac {1}{2}

Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling

and spin-1. The procedure we adopt here is based on Relativistic Quantum Mechanics. We work out the non-relativistic regime that follows from the wave equation corresponding to a certain particle coupled to an external electromagnetic field and a background that accounts for the Lorentz-symmetry violation, and we thereby read off the magnetic dipole moment operator for the particle under consideration. We keep track of the parameters that govern the non-minimal electromagnetic coupling and the breaking of Lorentz symmetry in the expressions we get for the magnetic moments in the different cases we contemplate. Our claim is that the tiny magnetic dipole moment of truly-elementary neutral particles might signal Lorentz-symmetry violation.

A comment on the topological phase for anti-particles in a Lorentz-violating environment

The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here reassessed and a spin-projector method is adopted to account for the breaking (vector) parameter. Issues like causality, unitarity, spontaneous gauge-symmetry breaking and vortex formation are investigated, and consistency conditions on the external vector are identified.

Remarks on the causality, unitarity and supersymmetric extension of the Lorentz and CPT-violating Maxwell-Chern-Simons model

The Aharonov-Bohm-Casher problem is examined for a charged particle describing a circular path in presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field. It were evaluated the particle eigenenergies, showing that the LV background is able to lift the original degenerescence in the absence of magnetic field and even for a neutral particle. The Aharonov-Casher phase is used to impose an upper bound on the background magnitude. A similar analysis is accomplished in a space endowed with a topological defect, revealing that both the disclination parameter and the LV background are able to modify the particle eigenenergies. We also analyze the particular case where the particle interacts harmonically with the topological defect and the LV background, with similar results.

Supersymmetric extension of the Lorentz- and CPT -violating Maxwell-Chern-Simons model

Abstract Recently, a scheme to analyse topological phases in quantum mechanics by means of the non-relativistic limit of fermions non-minimally coupled to a Lorentz-breaking background has been proposed. In this Letter, we show that the fixed background, responsible for the Lorentz-symmetry violation, may induce opposite Aharonov–Casher phases for a particle and its corresponding anti-particle. We then argue that such a difference may be used to investigate the asymmetry for particle/anti-particle as well as to propose bounds on the associated Lorentz-symmetry violating parameters.

Classical solutions in a Lorentz violating Maxwell-Chern-Simons electrodynamics

Abstract The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here re-assessed and issues like causality, unitarity, spontaneous gauge-symmetry breaking are investigated. Moreover, we obtain a minimal extension of such a system to a supersymmetric environment. We comment on resulting peculiar self-couplings for the gauge sector, as well as on background contribution for gaugino masses.

LORENTZ-SYMMETRY VIOLATION AND ELECTRICALLY CHARGED VORTICES IN THE PLANAR REGIME

Focusing on the gauge degrees of freedom specified by a (1+3)-dimensional model accommodating a Maxwell term plus a Lorentz and

ELECTRON–ELECTRON ATTRACTIVE INTERACTION IN MAXWELL–CHERN–SIMONS QED3 AT ZERO TEMPERATURE

\mathrm{CPT}

N=1-supersymmetric quantum mechanics in a scenario with Lorentz-symmetry violation

noninvariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric framework. We comment on the resulting peculiar self-couplings for the gauge sector, as well as on the background contribution for gaugino masses. Furthermore, a nonpolynomial generalization is presented.