Souvik Pramanik, Subir Ghosh, Probir Pal
Extensions of free relativistic particle models, living in Non-Commutative space-times that might be relevant in the context of Quantum Gravity in Planck scale physics are well known. In the present work the dynamics of such charged particles in the presence of external electromagnetic interactions are studied in detail. Furthermore we have also considered the electromagnetic field to be dynamical and have derived the modified forms of Lienard-Wiechert like potentials for these extended charged particle models. In all the above cases we exploit the new form of $\kappa$-Minkowski algebra where electromagnetic effects are incorporated in the lowest order, in the Dirac framework of Hamiltonian constraint analysis.
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http://arxiv.org/abs/1212.6881
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