23 research outputs found
Supersymmetry with Central Charge: A Twofold Implementation
In this work, we analyze an extended supersymmetry with
central charge and develop its superspace formulation under two distinct
viewpoints. Initially, in the context of classical mechanics, we discuss the
introduction of deformed supersymmetric derivatives and their consequence on
the deformation of one-dimensional non-linear sigma model. After that,
considering a field-theoretical framework, we present an implementation of this
superalgebra in two dimensions, such that one of the coordinates is related to
the central charge. As an application, in this two-dimensional scenario, we
consider topological (bosonic) configurations of a special self-coupled matter
model and present a non-trivial fermionic solution.Comment: Accepted version in Advances in High Energy Physic
Coulomb's law modification driven by a logarithmic electrodynamics
We examine physical aspects for the electric version of a recently proposed
logarithmic electrodynamics, for which the electric field of a point-like
charge is finite at the origin. It is shown that this electrodynamics displays
the vacuum birefringence phenomenon in the presence of external magnetic field.
Afterwards we compute the lowest-order modification to the interaction energy
by means of the gauge-invariant but path-dependent variables formalism. These
are shown to result in a long-range (-type) correction, in addition to a
linear and another logarithmic correction, to the Coulomb potential.Comment: 4 pages. arXiv admin note: text overlap with arXiv:1709.0386
A 3-form Gauge Potential in 5D in connection with a Possible Dark Sector of 4D-Electrodynamics
We here propose a 5-dimensional {\bf Abelian gauge} model based on the mixing
between a potential and an Abelian 3-form field by means of a
topological mass term. An extended covariant derivative is introduced to
minimally couple a Dirac field to the potential, while this same
covariant derivative non-minimally couples the 3-form field to the charged
fermion. A number of properties are discussed in 5D; in particular, the
appearance of a topological fermionic current. A 4-dimensional reduced version
of the model is investigated and, { \bf in addition to the electric- and
magnetic-sort of fields,} there emerges an extra set of electric- and
magnetic-like fields which contribute a negative pressure and may be identified
as a possible fraction of dark energy. The role of the topological fermionic
current is also contemplated upon dimensional reduction from 5D to 4D. Other
issues we present in 4 space-time dimensions are the emergence {\bf of a
pseudo-scalar massive particle,} an extra massive neutral gauge boson,{\bf
which we interpret as a kind of paraphoton}, and the calculation of spin- and
velocity-dependent interparticle potentials associated to the exchange of the
intermediate bosonic fields of the model.Comment: -- 30 pages -- L. P. R. Ospedal appears as a new co-author;
modifications by inclusion of the gravitational sector and the attainment of
a spin- and velocity-dependent potential as an application have been worked
out in this Revised Versio
The Montana Kaimin, May 14, 1918
Student newspaper of the University of Montana, Missoula.https://scholarworks.umt.edu/studentnewspaper/1478/thumbnail.jp
Investigations on Effective Electromagnetic and Gravitational Scenarios
The work aims effective and low-dimensional systems. Some different contexts
involving gravitational and electromagnetic interactions are investigated. The
electromagnetic one approaches bosonic and fermionic Effective Quantum Field
Theories non-minimally coupled in three spacetime dimensions submitted to the
expansion of Foldy-Wouthuysen Transformation, what generates (non-)relativistic
corrections. A study of the effects of an external electromagnetic field
derived from the Maxwell-Chern-Simons Electrodynamics on the obtained
interactions are executed, as well as the impact produced by the dimensional
reduction on expanded higher dimensional fermionic system in comparison to the
low-dimensional one. In the scenario of gravitational effective model, scalar
and fermionic particle scatterings reveal inter-particles interactions beyond
monopole-monopole, leading to velocity and spin contributions, and the results
are compared to a modified Electrodynamics effective model. A non-perturbative
model resourcing to Casual Dynamics Triangulation data is adopted to serve as
consistency check of the potentials resultants. Low-dimensional Maxwell-Higgs
effective models with modified kinetic terms are studied, submitting them to a
Bogomol'nyi prescription-type for calculation of inferior (non-trivial) bound
energy and the self-dual equations. Vortex solutions for gauge field
non-specified by an ansatz are achieved and their topological feature detailed
Considerations on the ModMax electrodynamics in the presence of an electric and magnetic background
The properties of the modified Maxwell electrodynamics (ModMax) are
investigated in the presence of an external and uniform electromagnetic field.
We expand the non-linear theory around an electromagnetic background up to
second order in the propagating fields to obtain the permittivity and
permeability tensors, the dispersion relations, the group velocity and the
refractive index of the wave as functions of the uniform electric and magnetic
fields. The case in which these background fields are perpendicular is
analyzed. The birefringence phenomenon is discussed where the parameter of the
non-linear theory has a fundamental role. We calculate the difference of the
refractive indices as function of the ModMax parameter, and of the electric and
magnetic fields. Finally, we compute the interaction energy for an axionic
ModMax electrodynamics in the presence of an external magnetic background
fields, within the framework of the gauge-invariant, but path-dependent
variables formalism. Our results show that the interaction energy contains a
linear term leading to the confinement of static probe charges.Comment: 10 pages, 2 figure
A Dirac-material-inspired non-linear electrodynamic model
We propose and study the properties of a non-linear electrodynamics that
emerges inspired on the physics of Dirac materials. This new electrodynamic
model is an extension of the one-loop corrected non-linear effective Lagrangian
computed in the work of ref. [3]. In the particular regime of a strong magnetic
and a weak electric field, it reduces to the photonic non-linear model worked
out by the authors of ref. [3]. We pursue our investigation of the proposed
model by analyzing properties of the permittivity and permeability tensors, the
energy-momentum tensor and wave propagation effects in presence of a uniform
magnetic background. It is shown that the electrodynamics here presented
exhibits the vacuum birefringence phenomenon. Subsequently, we calculate the
lowest-order modifications to the interaction energy, considering still the
presence of a uniform external magnetic field. Our analysis is carried out
within the framework of the gauge-invariant but path-dependent variables
formalism. The calculation reveals a screened Coulomb-like potential with an
effective electric charge that runs with the external magnetic field but, as
expected for Dirac-type materials, the screening disappears whenever the
external magnetic field is switched off.Comment: 9 pages, 3 figure