Journal ArticleDOI
Nonlinear Electrodynamics: Lagrangians and Equations of Motion
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In this article, the Lagrangian of Born and Infeld was applied to nonlinear electrodynamics and the laws of propagation of photons and of charged particles, along with an anisotropic propagation of the wavefronts.Abstract:
After a brief discussion of well‐known classical fields we formulate two principles: When the field equations are hyperbolic, particles move along rays like disturbances of the field; the waves associated with stable particles are exceptional. This means that these waves will not transform into shock waves. Both principles are applied to nonlinear electrodynamics. The starting point of the theory is a Lagrangian which is an arbitrary nonlinear function of the two electromagnetic invariants. We obtain the laws of propagation of photons and of charged particles, along with an anisotropic propagation of the wavefronts. The general ``exceptional'' Lagrangian is found. It reduces to the Lagrangian of Born and Infeld when some constant (probably simply connected with the Planck constant) vanishes. A nonsymmetric tensor is introduced in analogy to the Born‐Infeld theory, and finally, electromagnetic waves are compared with those of Einstein‐Schrodinger theory.read more
Citations
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Journal ArticleDOI
Born - Infeld - Einstein actions?
Stanley Deser,Gary W. Gibbons +1 more
TL;DR: In this article, the authors present physical requirements on gravitational avatars of nonlinear electrodynamics and illustrate them with explicit determinantal Born - Infeld - Einstein models.
Journal ArticleDOI
Asymptotic charged BTZ black hole solutions
TL;DR: In this article, the authors generalized the (2 + 1)-dimensional Reissner-Nordstrom (BTZ) black hole to a three dimensional EH-based nonlinear electromagnetic field, motivated from obtaining a finite value for the self-energy of a pointlike charge.
Journal ArticleDOI
Born-Infeld theory and stringy causality
TL;DR: In this article, the authors consider the potential clash between causality determined by the closed string and open string light cones and find that the latter never lie outside the former, while the former never lies outside the latter.
Journal ArticleDOI
Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
TL;DR: In this article, the electrically charged Born-Infeld black holes in the Palatini formalism for $f(R)$ theories are analyzed and the nature and strength of the central singularities are also significantly affected.
Journal ArticleDOI
Measuring vacuum polarization with high-power lasers
Ben King,Thomas Heinzl +1 more
TL;DR: In this paper, the authors provide an overview of experimental signatures that have been suggested to confirm the prediction of quantum electrodynamics of real photon-photon scattering. But they do not provide a detailed analysis of these signatures.
References
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Journal ArticleDOI
Consequences of Dirac's theory of positrons
W. Heisenberg,H. Euler +1 more
TL;DR: In this paper, the authors compared Dirac's theory of the positron to those proposed by Born and showed that the field strength of large fields differs strongly from those of small fields.
Journal ArticleDOI
Folgerungen aus der Diracschen Theorie des Positrons
Werner Heisenberg,Hans v. Euler +1 more
TL;DR: Aus der Diracschen Theorie des Positrons folgt, da jedes elektromagnetische Feld zur Paarerzeugung neigt, eine Abanderung der Maxwellschen Gleichungen des Vakuums as discussed by the authors.
Journal ArticleDOI
Foundations of the new field theory
Max Born,Leopold Infeld +1 more
TL;DR: The relation of matter and the electromagnetic field can be interpreted from two opposite standpoints as discussed by the authors : the unitarian viewpoint assumes only one physical entity (e.g., a single unitary entity) and the second viewpoint assumes that all particles of matter are considered as singularities of the field and mass is a derived notion expressed by field energy (electromagnetic mass).
Book ChapterDOI
Folgerungen aus der Diracschen Theorie des Positrons
Werner Heisenberg,Hans v. Euler +1 more
TL;DR: Aus der Diracschen Theorie des Positrons folgt, da jedes elektromagnetische Feld zur Paarerzeugung neigt, eine Abanderung der Maxwellschen Gleichungen des Vakuums as discussed by the authors.