J. A. Helayel-Neto

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-

Classical solutions in a Lorentz violating scenario of Maxwell-Chern-Simons-Proca electrodynamics

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

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.

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

Abstract.Taking as starting point the planar model that arises from the dimensional reduction of the Abelian-Higgs Carroll-Field-Jackiw model, we write down and study the extended Maxwell equations and the associated wave equations for the potentials. The solutions for these equations correspond to the usual ones for the MCS-Proca system, supplemented with background-dependent correction terms. In the case of a purely timelike background, exact algebraic solutions are presented which possess a similar behavior to the MCS-Proca counterparts near and far from the origin. On the other hand, for a purely spacelike background, only approximate solutions are feasible. They consist of non-trivial analytic expressions with manifest evidence of spatial anisotropy, which is consistent with the existence of a privileged direction in space. These solutions also behave similarly to the MCS-Proca ones near and far from the origin.

Dirac-like monopoles in a Lorentz- and C P T -violating 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.

An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D = 3

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

Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization.

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A SUPERSYMMETRIC MODEL FOR GRAPHENE

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.

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

Magnetic monopoles may be properly introduced in a Lorentz- and

Remarks on Dirac-like monopoles, Maxwell and Maxwell-Chern-Simons electrodynamics in D = (2+1)-dimensions

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