Dynamics of the BornInfeld dyons.pdf

Dynamics of the Born–Infeld dyons Dariusz Chru´sci´nski∗ and Hartmann R¨omer† Fakult¨at f¨ur Physik, Universit¨at Freiburg HermannHerderStr. 3, D79104 Freiburg, Germany 8 9 9 1 Abstract y The approach to the dynamics of a charged particle in the Born–Infeld nonlinear a electrodynamics developed in [Phys. Lett. A 240 (1998) 8] is generalized to include M a Born–Infeld dyon. Both Hamiltonian and Lagrangian structures of many dyons 8 interacting with nonlinear electromagnetism are constructed. All results are manifestly duality invariant. 1 v 2 4 0 5 0 8 9 / h t - p e h Freiburg THEP–98/9 : v i X r a ∗On leave from Institute of Physics, Nicholas Copernicus University, ul. Grudzi¸adzka 5/7, 87-100 Toru´n, Poland. E-mail: dariusz@phyq1.physik.uni-freiburg.de and darch@phys.uni.torun.pl †E-mail: roemer@phyq1.physik.uni-freiburg.de 1 1. Introduction In a recent paper [1] it was shown how to describe the dynamics of a point charge in the Born–Infeld nonlinear electrodynamics [2] (see also [3]). There are several motivations to study this theory (see e.g. [1], [3], [4], [5], [6]). Moreover, it turns out that some natural objects in string theory, so called Dbranes, are described by a kind of nonlinear Born–Infeld action [7]. The aim of the present Letter is to show that the results of [1] could be generalized in the case when a particle carries both electric and magnetic charges (dyon). We do so not only for an aesthetic purpose. It turns out that the Dirac idea of magnetically charged particles [8] (see [9] for a review) has led recently to very remarkable re