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Multiloop QED in the Euler-Heisenberg approach

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arxiv 2001.06667 v1 pith:54EDX75K submitted 2020-01-18 hep-ph

Multiloop QED in the Euler-Heisenberg approach

classification hep-ph
keywords euler-heisenberglagrangianmultiloopvariousapproachasymptoticattentionborel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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I summarize what is known about the Euler-Heisenberg Lagrangian and its multiloop corrections for scalar and spinor QED, in various types of constant fields, and in various dimensions. Particular attention is given to the asymptotic properties of the weak-field expansion of the Lagrangian, which via Borel summation is related to Schwinger pair-creation, and the status of the "exponentiation conjecture" for the imaginary part of the Euler-Heisenberg to all loop orders.

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