Resummed relative entropy fixes the sign of asymptotic growth of EFT coefficients and signals instabilities, with the Schwinger effect in fermionic QED as a concrete example obtained via Euclidean-to-Minkowski analytic continuation.
Therefore, we obtain wλ[ϕ] = Z d4xE −1 2 1 +λ α+O λ2 (∂µϕ)2 − Lnonlin (∂µϕ) ,(S19) where the nonlinear correctionLnonlin (∂µϕ)∼ O λ2
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Bounds on nonlinear effective field theories via resurgent relative entropy
Resummed relative entropy fixes the sign of asymptotic growth of EFT coefficients and signals instabilities, with the Schwinger effect in fermionic QED as a concrete example obtained via Euclidean-to-Minkowski analytic continuation.