Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism

Escobar, C. A.; Linares, Román; Tlatelpa-Mascote, B.

doi:10.48550/arxiv.2112.10060

Cited by 2 publications

(2 citation statements)

References 22 publications

(33 reference statements)

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“…2 Note, though, that the vacuum (in which F 𝜇𝜈 = 0) is a well defined solution of the ModMax Lagrangian field equations (20) with zero energymomentum tensor. 3 A detailed analysis of the ModMax Hamiltonian formulation in the phase space associated with the Plebanski variables [34] has been carried out in [62].…”

Section: Modmax Electrodynamicsmentioning

confidence: 99%

Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

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Section: Modmax Electrodynamicsmentioning

confidence: 99%

Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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“…A detailed analysis of the ModMax Hamiltonian formulation in the phase space associated with the Plebanski variables[30] has been recently carried out in[49].…”

mentioning

confidence: 99%

Introductory Notes on Non-linear Electrodynamics and its Applications

Sorokin¹

2021

Preprint

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In 1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1936 Heisenberg and Euler computed an effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

show abstract

Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism

Cited by 2 publications

References 22 publications

Introductory Notes on Non‐linear Electrodynamics and its Applications

Introductory Notes on Non‐linear Electrodynamics and its Applications

Introductory Notes on Non-linear Electrodynamics and its Applications

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