Abstract
We study physical aspects for a new nonlinear electrodynamics (inverse electrodynamics). It is shown that this new electrodynamics displays the vacuum birefringence phenomenon in the presence of external magnetic field, hence we compute the bending of light. Afterwards we compute the lowest-order modification to the interaction energy within the framework of the gauge-invariant but path-dependent variables formalism. Our calculations show that the interaction energy contains a long-range ({1 big / {{r^5}}}-type) correction to the Coulomb potential.
Highlights
Quantum vacuum nonlinearities have a long history originating from the pioneering work by Euler and Heisenberg [1], who obtained an effective nonlinear electromagnetic theory in vacuum arising from the interaction of photons with virtual electron-positron pairs
Schwinger reconfirmed this amazing prediction of light-by-light scattering from Quantum Electrodynamics (QED) [2]
Previously [28,29,30,31], we have examined the physical effects presented by different models of (3 + 1)-D nonlinear electrodynamics in vacuum
Summary
Quantum vacuum nonlinearities have a long history originating from the pioneering work by Euler and Heisenberg [1], who obtained an effective nonlinear electromagnetic theory in vacuum arising from the interaction of photons with virtual electron-positron pairs. Schwinger reconfirmed this amazing prediction of light-by-light scattering from Quantum Electrodynamics (QED) [2] In this context it is important to recall that one of the remarkable physical effects of the Heisenberg and Euler result has been vacuum birefringence. Let us mention here that different nonlinear electrodynamics of the vacuum may have meaningful contributions to photon-photon scattering such as Born–Infeld [20] and Lee–Wick [21,22] theories. From the preceding considerations and given the ongoing experiments related to photon-photon interaction physics, it is useful to further examine the phenomenological consequences presented by a new nonlinear electrodynamics. Seem from such a perspective, the present work supplement our previous studies. In our conventions the signature of the metric is (+1, −1, −1, −1)
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