5 research outputs found
Born-Infeld Electrodynamics and Euler-Heisenberg-like Model: outstanding examples of the lack of commutativity among quantized truncated actions and truncated quantized actions
We calculate the lowest-order corrections to the static potential for both
the generalized Born-Infeld Electrodynamics and an Euler-Heisenberg-like model,
in the presence of a constant external magnetic field. Our analysis is carried
out within the framework of the gauge-invariant but path-dependent variables
formalism. The calculation reveals a long-range correction (
{\raise0.7ex\hbox{1} \mathord{\left/ {\vphantom {1
{r^5}}}\right.\kern-\nulldelimiterspace} \lower0.7ex\hbox{{r^5}}}-type) to
the Coulomb potential for the generalized Born-Infeld Electrodynamics.
Interestingly enough, in the Euler-Heisenberg-like model, the static potential
remains Coulombian. Therefore, contrary to popular belief, the quantized
truncated action and the truncated quantized action do not commute at all.Comment: 7 pages. Title changed, revised version. To appear in Int. J. Mod.
Phys.
On scale symmetry breaking and confinement in D=3 models
Within the framework of the gauge-invariant, but path-dependent, variables
formalism, we study the connection between scale symmetry breaking and
confinement in three-dimensional gluodynamics. We explicitly show that the
static potential profile contains a linear potential, leading to the
confinement of static charges. Also, we establish a new type of equivalence
among different three-dimensional effective theories.Comment: 6 pages, references adde
On condensation of charged scalars in D=3 dimensions
By using the gauge-invariant, but path-dependent, variables formalism, we
study the impact of condensates on physical observables for a three-dimensional
Higgs-like model. As a result, for the case of a physical mass term like , we recover a screening potential. Interestingly enough, in the
case of a "wrong-sign" mass term , unexpected features
are found. It is shown that the interaction energy is the sum of an
effective-Bessel and a linear potential, leading to the confinement of static
charges. However, when a Chern-Simons term is included, the surprising result
is that the theory describes an exactly screening phase.Comment: 13 page
Aspects of Magnetic Field Configurations in Planar Nonlinear Electrodynamics
In the framework of three-dimensional Born-Infeld Electrodynamics, we pursue
an investigation of the consequences of the space-time dimensionality on the
existence of magnetostatic fields generated by electric charges at rest in an
inertial frame, which are present in its four-dimensional version. Our analysis
reveals interesting features of the model. In fact, a magnetostatic field
associated with an electric charge at rest does not appear in this case.
Interestingly, the addition of the topological term (Chern-Simons) to
Born-Infeld Electrodynamics yields the appearance of the magnetostatic field.
We also contemplate the fields associated to the would-be-magnetic monopole in
three dimensions.Comment: 8 page