105,443 research outputs found
Constraining Born-Infeld-like Nonlinear Electrodynamics Using Hydrogen's Ionization Energy
In this work, the hydrogen's ionization energy was used to constrain the free
parameter of three Born-Infeld-like electrodynamics namely Born-Infeld
itself, Logarithmic electrodynamics and Exponential electrodynamics. An
analytical methodology capable of calculating the hydrogen ground state energy
level correction for a generic nonlinear electrodynamics was developed. Using
the experimental uncertainty in the ground state energy of the hydrogen atom,
the bound , where , and
for the Born-Infeld, Logarithmic and Exponential electrodynamics
respectively, was established. In the particular case of Born-Infeld
electrodynamics, the constraint found for was compared with other
constraints present in the literature.Comment: 9 pages, 1 figure, references adde
The relation between classical and quantum electrodynamics
In this article it is presented the idea that quantum electrodynamics presents intrinsic limitations in the description of physical processes that makes it impossible to recover from it the type of description we have with classical electrodynamics. In this way I cannot consider classical electrodynamics as reducing to quantum electrodynamics and being recovered from it by some sort of limiting procedure. Quantum electrodynamics has to be seen not as an independent theory but just as an upgrade of classical electrodynamics and the theory of relativity, which permits an extension of classical theory in the description of phenomena that, while being clearly related to the conceptual framework of the classical theory – the description of matter, radiation, and their interaction –, cannot be properly addressed from the classical theory
Remarks on nonlinear Electrodynamics
We consider both generalized Born-Infeld and Exponential Electrodynamics. The
field-energy of a point-like charge is finite only for Born-Infeld-like
Electrodynamics. However, both Born-Infeld-type and Exponential Electrodynamics
display the vacuum birefringence phenomenon. Subsequently, we calculate the
lowest-order modifications to the interaction energy for both classes of
Electrodynamics, within the framework of the gauge-invariant path-dependent
variables formalism. These are shown to result in long-range (- type)
corrections to the Coulomb potential. Once again, for their non-commutative
versions, the interaction energy is ultraviolet finite.Comment: 10 pages. arXiv admin note: substantial text overlap with
arXiv:1312.515
Formulation of Electrodynamics with an External Source in the Presence of a Minimal Measurable Length
In a series of papers, Quesne and Tkachuk (J. Phys. A: Math. Gen.
\textbf{39}, 10909 (2006); Czech. J. Phys. \textbf{56}, 1269 (2006)) presented
a -dimensional -two-parameter Lorentz-covariant deformed
algebra which leads to a nonzero minimal measurable length. In this paper, the
Lagrangian formulation of electrodynamics in a 3+1-dimensional space-time
described by Quesne-Tkachuk algebra is studied in the special case
up to first order over the deformation parameter . It is
demonstrated that at the classical level there is a similarity between
electrodynamics in the presence of a minimal measurable length (generalized
electrodynamics) and Lee-Wick electrodynamics. We obtain the free space
solutions of the inhomogeneous Maxwell's equations in the presence of a minimal
length. These solutions describe two vector particles (a massless vector
particle and a massive vector particle). We estimate two different upper bounds
on the isotropic minimal length. The first upper bound is near to the
electroweak length scale , while the
second one is near to the length scale for the strong interactions
. The relationship between the
Gaete-Spallucci nonlocal electrodynamics (J. Phys. A: Math. Theor. \textbf{45},
065401 (2012)) and electrodynamics with a minimal length is investigated.Comment: 13 pages, no figur
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