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The formulation shows unique solutions for causal interactions in electrodynamics, implying a potential for analytic weak-field expansion.
We present a new formulation of self-dual nonlinear electrodynamics in which interactions are determined by an auxiliary-field potential, with causality ensuring a unique solution to the auxiliary-field equation. For `symmetric' potentials the weak-field expansion is `analytic' and the Lagrangian can be linearised in quadratic field-strength scalars by the introduction of an additional pseudoscalar auxiliary field.
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Russo et al. (2025) studied this question.
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