Nonlinear electrodynamics without birefringence

Author:

Russo Jorge G.,Townsend Paul K.

Abstract

Abstract All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a “reverse Born-Infeld” case, which has a limit to Plebanski, and an “extreme-Born-Infeld” case, which arises as a Lagrangian constraint. Only Born-Infeld has a weak-field limit, and only Born-Infeld and extreme-Born-Infeld avoid superluminal propagation in constant electromagnetic backgrounds, but all cases have a conformal strong-field limit that coincides with the strong-field limit of Born-Infeld found by Bialynicki-Birula.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference17 articles.

1. I. Bialynicki-Birula, Nonlinear Electrodynamics: Variations on a theme by Born and Infeld, in B. Jancewicz and J. Lukierski eds/, Quantum Theory of Particles and Fields, World Scientific (1983) pp. 31–48.

2. M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. Lond. A 144 (1934) 425 [INSPIRE].

3. G. Boillat, Vitesses des ondes électrodynamiques et lagrangiens exceptionnels, Ann. Inst. H. Poincare Phys. Theor. 5 (1966) 217.

4. G. Boillat, Nonlinear electrodynamics - Lagrangians and equations of motion, J. Math. Phys. 11 (1970) 941 [INSPIRE].

5. J. Plebanski, Lectures on non-linear electrodynamics, The Niels Bohr Institute and NORDITA, Copenhagen (1970).

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