132 research outputs found
Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
We have studied the contributions of Lorentz-violating CPT-odd and CPT-even
nonminimal couplings to the energy spectrum of the mesonic hydrogen and the
higher-order radiative corrections to the effective action of the photon sector
of a Lorentz-violating version of the scalar electrodynamics. By considering
the complex scalar field describes charged mesons (pion or kaon), the
non-relativistic limit of the model allows to attain upper-bounds by analyzing
its contribution to the mesonic hydrogen energy. By using the experimental data
for the strong correction shift and the pure QED transitions , the best upper-bound for the CPT-odd coupling is
and for the CPT-even one is
. Besides, the CPT-odd radiative correction to the
photon action is a dimension-5 operator which looks like a higher-order
Carroll-Field-Jackiw term. The CPT-even radiative contribution to the photon
effective action is a dimension-6 operator which would be a higher-order
derivative version of the minimal CPT-even term of the standard model
extension
Topological first-order solitons in a gauged model with the Maxwell-Chern-Simons action
We verify the existence of radially symmetric first-order solitons in a
gauged scenario in which the dynamics of the Abelian gauge field is
controlled by the Maxwell-Chern-Simons action. We implement the standard
Bogomol'nyi-Prasad-Sommerfield (BPS) formalism, from which we obtain a
well-defined lower bound for the corresponding energy (i.e. the Bogomol'nyi
bound) and the first-order equations saturating it. We solve these first-order
equations numerically by means of the finite-difference scheme, therefore
obtaining regular solutions of the effective model, their energy being
quantized according the winding number rotulating the final configurations, as
expected. We depict the numerical solutions, whilst commenting on the main
properties they engender.Comment: 8 pages, 9 figure
Topological vortices in generalized Born-Infeld-Higgs electrodynamics
A consistent BPS formalism to study the existence of topological axially
symmetric vortices in generalized versions of the Born-Infeld-Higgs
electrodynamics is implemented. Such a generalization modifies the field
dynamics via introduction of three non-negative functions depending only in the
Higgs field, namely, , and . A set of
first-order differential equations is attained when these functions satisfy a
constraint related to the Ampere law. Such a constraint allows to minimize the
system energy in such way that it becomes proportional to the magnetic flux.
Our results provides an enhancement of topological vortex solutions in
Born-Infeld-Higgs electrodynamics. Finally, we analyze a set of models such
that a generalized version of Maxwell-Higgs electrodynamics is recovered in a
certain limit of the theory.Comment: 8 pages, 8 figures, to appear in EPJ
Nontopological self-dual Maxwell-Higgs vortices
We study the existence of self-dual nontopological vortices in generalized
Maxwell-Higgs models recently introduced in Ref. \cite{gv}. Our investigation
is explicitly illustrated by choosing a sixth-order self-interaction potential,
which is the simplest one allowing the existence of nontopological structures.
We specify some Maxwell-Higgs models yielding BPS nontopological vortices
having energy proportional to the magnetic flux, , and whose profiles
are numerically achieved. Particularly, we investigate the way the new
solutions approach the boundary values, from which we verify their
nontopological behavior. Finally, we depict the profiles numerically found,
highlighting the main features they present.Comment: 6 pages, 4 figure
Analytical BPS Maxwell-Higgs vortices
We have established a prescription for the calculation of analytical vortex
solutions in the context of generalized Maxwell-Higgs models whose overall
dynamics is controlled by two positive functions of the scalar field. We have
also determined a natural constraint between these functions and the Higgs
potential allowing the existence of axially symmetric
Bogomol'nyi-Prasad-Sommerfield (BPS) solutions possessing finite energy.
Furthermore, when the generalizing functions are chosen suitably, the
nonstandard BPS equations can be solved exactly. We have studied some examples,
comparing them with the usual Abrikosov-Nielsen-Olesen (ANO) solution. The
overall conclusion is that the analytical self-dual vortices are well-behaved
in all relevant sectors, strongly supporting the generalized models they belong
themselves. In particular, our results mimic well-known properties of the usual
(numerical) configurations, as localized energy density, while contributing to
the understanding of topological solitons and their description by means of
analytical methods.Comment: 8 pages, 4 figure
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