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Electromagnetic force and torque are typically derived from a stress tensor in conjunction with Maxwell's equations of classical electrodynamics. In some instances, the Principle of Least Action (built around a Lagrangian) can be used to…

Optics · Physics 2021-08-09 Masud Mansuripur

The field equations associated with the Born-Infeld-Einstein action including matter are derived using a Palatini variational principle. Scalar, electromagnetic, and Dirac fields are considered. It is shown that an action can be chosen for…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Dan N. Vollick

We present a method for introducing and analysing higher-derivative deformations of maximally supersymmetric field theories. Such terms are built in the pure spinor superfield framework, using a set of operators representing physical…

High Energy Physics - Theory · Physics 2015-05-30 Martin Cederwall , Anna Karlsson

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

High Energy Physics - Theory · Physics 2017-03-21 Alexander A. Reshetnyak

A Noether-enhanced Legendre transformation from Lagrange densities to energy-momentum tensors is developed into an alternative framework for formulating classical field equations. This approach offers direct access to the Hamiltonian while…

General Physics · Physics 2019-02-21 Hans Christian Öttinger

The issue of a self-consistent solution of Maxwell-Einstein equations achieves a very simple form when all quantum effects are neglected but a weak vacuum polarization due to an external magnetic field is taken into account. From a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Klippert , V. A. De Lorenci , M. Novello , J. M. Salim

In this paper we develop a new discrete method for calculating the dielectric tensor and Born effective charge tensor in finite electric field by using Berry's phase and the gauge invariance. We present a new method to overcome…

Materials Science · Physics 2020-11-30 Myong Chol Pak , Nam-Hyok Kim , Hak-Chol Pak , Song-Jin Im

Born-Infeld nonlinear electrodynamics are considered. Main attention is given to existence of singular point at static field configuration that M.Born and L.Infeld are considered as a model of electron. It is shown that such singularities…

High Energy Physics - Theory · Physics 2011-07-19 Alexander A. Chernitskii

As a contribution towards the understanding for the field equations of diffeomorphism invariant theories of pure gravity, we demonstrate in great detail that the expression for the field equations of such theories can be derived within the…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Jun-Jin Peng

We review an iterative construction of the supersymmetric non-abelian Born-Infeld action. We obtain the action through second order in the fieldstrength. Kappa-invariance fixes the ordenings which turn out to deviate from the symmetrized…

High Energy Physics - Theory · Physics 2009-10-31 E. A. Bergshoeff , M. de Roo , A. Sevrin

We show how to "concatenate" variational principles over different bases into one over a single base, thereby providing a unified Lagrangian treatment of interacting systems. As an example we study a Klein-Gordon field interacting with a…

Mathematical Physics · Physics 2007-11-30 Marco Castrillon Lopez , Mark J. Gotay , Jerrold E. Marsden

We consider the transverse-traceless tensor perturbation of a spatial flat homogeneous and isotropic spacetime in Born-Infeld determinantal gravity, and investigate the evolution of the tensor mode for two solutions in the early universe.…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Ke Yang , Yu-Peng Zhang , Yu-Xiao Liu

I discuss theories that describe fully nonlinear physics, while being practically linear (PL), in that they require solving only linear differential equations. These theories may be interesting in themselves as manageable nonlinear…

General Relativity and Quantum Cosmology · Physics 2012-06-11 Mordehai Milgrom

We explain a conjecture which states that the proper-time series expansion of the one-loop effective Lagrangian of quantum electrodynamics can be partially summed in all terms containing the field-strength invariants $\mathcal{F} =…

High Energy Physics - Theory · Physics 2021-10-06 Silvia Pla , Jose Navarro-Salas

One loop effects due to virtual gauge field propagation in 2+1 dimensional Born-Infeld theory are investigated. Although this field theory model is not power counting renormalizable, it can be consistently interpreted as an effective field…

High Energy Physics - Theory · Physics 2009-10-31 C. Fosco , F. A. Schaposnik

We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are…

High Energy Physics - Theory · Physics 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Sayaka Sekiya

We study the effect of the limiting field strength of Born-Infeld electromagnetism on the dynamics of charged particle scattering. We formulate the Born-Infeld limiting field in an invariant manner, showing that it is the electric…

Nuclear Theory · Physics 2023-06-16 Will Price , Martin Formanek , Johann Rafelski

We show that the Einstein-Hilbert action for the gravitational field can be obtained as a linear low-energy approximation for the dynamical massless fields in the theory with the lagrangian quadratic in the gauge field strength-tensor of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

The Lagrangian formalism for tensor fields over differentiable manifolds with contravariant and covariant affine connections (whose components differ not only by sign) and metrics [$(\bar{L}_n,g)$-spaces] is considered. The functional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Manoff

LHC provides a excellent laboratory to probe massive gravitons effects in scenarios with low scale gravity up to several Tev. Based on this fact, in the present work we are interested in analyzing the possible constraints on the free…

General Relativity and Quantum Cosmology · Physics 2016-11-26 J. A. Helayël Neto , N. Panza
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