279 research outputs found
Dimensional Reduction of the Abelian-Higgs Carroll-Field-Jackiw Model
Taking as a starting point a Lorentz non-invariant Abelian-Higgs model
defined in 1+3 dimensions, we carry out its dimensional reduction to D=1+2,
obtaining a new planar model composed by a Maxwell-Chern-Simons-Proca gauge
sector, a massive scalar sector, and a mixing term (involving the fixed
background (v^{\mu}) that imposes the Lorentz violation to the reduced model.
The propagators of the scalar and massive gauge field are evaluated and the
corresponding dispersion relations determined. Based on the poles of the
propagators, a causality and unitarity analysis is carried out at tree-level.
One then shows that the model is totally causal and unitary.Comment: 10 pages, style revtex, revised version to appear in Eur. Phys. J.
C(2004
Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
The non-minimal coupling of fermions to a background responsible for the
breaking of Lorentz symmetry is introduced in Dirac's equation; the
non-relativistic regime is contemplated, and the Pauli's equation is used to
show how an Aharonov-Casher phase may appear as a natural consequence of the
Lorentz violation, once the particle is placed in a region where there is an
electric field. Different ways of implementing the Lorentz breaking are
presented and, in each case, we show how to relate the Aharonov-Casher phase to
the particular components of the background vector or tensor that realises the
violation of Lorentz symmetry.Comment: 8 pages, added references, no figure
The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
We study the spectrum of the minimal supersymmetric extension of the
Carroll-Field-Jackiw model for Electrodynamics with a topological
Chern-Simons-like Lorentz-symmetry violating term. We identify a number of
independent background fermion condensates, work out the gaugino dispersion
relation and propose a photonic effective action to consider aspects of
confinement induced by the SUSY background fermion condensates, which also
appear to signal Lorentz-symmetry violation in the photino sector of the
action. Our calculations of the static potential are carried out within the
framework of the gauge-invariant but path-dependent variables formalism which
are alternative to the Wilson loop approach. Our results show that the
interaction energy contains a linear term leading to the confinement of static
probe charges.Comment: 11 pages, photino dispersion relation is extended to included the
case the photino acquires mass through spontaneous SUSY breakin
Electron-electron interaction in a MCS model with a purely spacelike Lorentz-violating background
One considers a planar Maxwell-Chern-Simons electrodynamics in the presence
of a purely spacelike Lorentz-violating background. Once the Dirac sector is
properly introduced and coupled to the scalar and the gauge fields, the
electron-electron interaction is evaluated as the Fourier transform of the
Moller scattering amplitude (derived in the non-relativistic limit). The
associated Fourier integrations can not be exactly carried out, but an
algebraic solution for the interaction potential is obtained in leading order
in (v/s)^2. It is then observed that the scalar potential presents a
logarithmic attractive (repulsive) behavior near (far from) the origin.
Concerning the gauge potential, it is composed of the pure MCS interaction
corrected by background contributions, also responsible for its anisotropic
character. It is also verified that such corrections may turn the gauge
potential attractive for some parameter values. Such attractiveness remains
even in the presence of the centrifugal barrier and gauge invariant A.A term,
which constitutes a condition compatible with the formation of Cooper pairs.Comment: 12 pages, 3 figures, Revtex4 style, figures revised; to appear in
Phys. Rev. D (2005
Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario
Background fermion condensates in a landscape dominated by global SUSY are
reassessed in connection with a scenario where Lorentz symmetry is violated in
the bosonic sector (actually, the photon sector) by a -even -term. An
effective photonic action is discussed that originates from the supersymmetric
background fermion condensates. Also, the photino mass emerges in terms of a
particular condensate contrary to what happens in the -violation.
Finally, the interparticle potential induced by the effective photonic action
is investigated and a confining profile is identified.Comment: 14 pages. arXiv admin note: text overlap with arXiv:1102.3777 by
other author
Classical Solutions in a Lorentz-violating Maxwell-Chern-Simons Electrodynamics
We take as starting point the planar model arising from the dimensional
reduction of the Maxwell Electrodynamics with the (Lorentz-violating)
Carroll-Field-Jackiw term. We then write and study the extended Maxwell
equations and the corresponding wave equations for the potentials. The solution
to these equations show some interesting deviations from the usual MCS
Electrodynamics, with background-dependent correction terms. In the case of a
time-like background, the correction terms dominate over the MCS sector in the
region far from the origin, and establish the behaviour of a massless
Electrodynamics (in the electric sector). In the space-like case, the solutions
indicate the clear manifestation of spatial anisotropy, which is consistent
with the existence of a privileged direction is space.Comment: latex, 8 page
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