177 research outputs found
N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
We show in this paper that the dynamics of a non-relativistic particle with
spin, coupled to an external electromagnetic field and to a background that
breaks Lorentz symmetry, is naturally endowed with an N=1-supersymmetry. This
result is achieved in a superspace approach where the particle coordinates and
the spin degrees of freedom are components of the same supermultiplet.Comment: 6 pages, no figure
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
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
Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
In this paper we study the effects of Lorentz Symmetry Breaking on
thermodynamics properties of ideal gases. Inspired in the dispersion relation
came from the Carroll-Field-Jackiw model for Electrodynamics with Lorentz and
CPT violation term, we compute the thermodynamics quantities for a Boltzmann,
Fermi-Dirac and Bose-Einstein distributions. Two regimes are analyzed: the non-
relativistic and the relativistic one. In the first case we show that the
topological mass induced by the Chern-Simons term behaves as a chemical
potential. For the Bose-Einstein gases it could be found a condensation in both
regimes, being the appearance of a condensate in the relativistic regime, the
main contribution of this work.Comment: 22 pages, 3 figure
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