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Schwinger pair production from Pad\'e-Borel reconstruction

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arxiv 1911.03489 v2 pith:IQY3GEQT submitted 2019-11-08 hep-th

Schwinger pair production from Pad\'e-Borel reconstruction

Adrien Florio This is my paper
classification hep-th
keywords backgroundfieldworkadvocatedapproximantsassociatedborelcostin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we show how the knowledge of the first few terms of the Euler-Heisenberg Lagrangian's weak-field expansion in a magnetic field background is enough to reconstruct the pair-production rate in a strong electric field background. To this end, we study its associated truncated Borel sum using Pad\'e approximants, as advocated in a recent work by Costin and Dunne, J. Phys. A52, 445205 (2019).

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