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Abstract: We study an electrodynamics consistent with anisotropic transformations ofspace-time with an arbitrary dynamic exponent $z$. The equations of motion andconserved quantities are explicitly obtained. We show that the propagator ofthis theory can be regarded as a quantum correction to the usual propagator.Moreover we obtain that both the momentum and angular momentum are notmodified, but their conservation laws do change. We also show that in thistheory the speed of light and the electric charge are modified with $z$. Themagnetic monopole in this electrodynamics and its duality transformations arealso investigated. For that we found that there exists a dual electrodynamics,with higher derivatives in the electric field, invariant under the sameanisotropic transformations.

Author: Juan M. Romero, J. A. Santiago, O. Gonzalez-Gaxiola, A. Zamora

Source: https://arxiv.org/

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