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

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

2006-09-10

arxiv.org/abs/hep-th/0609065v1

JHEP0611:013,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1088/1126-6708/2006/11/013

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.

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