Closed-form weak-field expansion of two-loop Euler-Heisenberg Lagrangians

Sep, 2006
12 pages
Published in:
  • JHEP 11 (2006) 013
e-Print:

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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