Canonical formalism for the Born-Infeld particle
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Publication:4213282
DOI10.1088/0305-4470/31/27/008zbMATH Open0912.58049arXivhep-th/9803100OpenAlexW3104475555WikidataQ115597526 ScholiaQ115597526MaRDI QIDQ4213282
Publication date: 25 May 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Abstract: In the previous paper (hep-th/9712161) it was shown that the nonlinear Born-Infeld field equations supplemented by the "dynamical condition" (certain boundary condition for the field along the particle's trajectory) define perfectly deterministic theory, i.e. particle's trajectory is determined without any equations of motion. In the present paper we show that this theory possesses mathematically consistent Lagrangian and Hamiltonian formulations. Moreover, it turns out that the "dynamical condition" is already present in the definition of the physical phase space and, therefore, it is a basic element of the theory.
Full work available at URL: https://arxiv.org/abs/hep-th/9803100
Born-Infeld electrodynamicsnonlinear electromagnetismdynamics of classical point chargesfinite self-energyparticle self-interaction
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