Closed-form weak-field expansion of two-loop Euler-Heisenberg Lagrangians
Sep, 2006
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Abstract:
We obtain closed-form expressions, in terms of the Faulhaber numbers, for the weak-field expansion coefficients of the two-loop Euler-Heisenberg effective Lagrangians in a magnetic or electric field. This follows from the observation that the magnetic worldline Green's function has a natural expansion in terms of the Faulhaber numbers.- quantum electrodynamics
- perturbation theory: higher-order
- higher-order: 2
- fermion
- expansion: weak field
- effective Lagrangian
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