Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-14
Phys.Lett. B526 (2002) 55-60
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, latex
Scientific paper
10.1016/S0370-2693(01)01475-7
We show that the two-loop Euler-Heisenberg effective Lagrangian for scalar QED in a constant Euclidean self-dual background has a simple explicit closed form expression in terms of the digamma function. This result leads to a simple analysis of the weak- and strong-field expansions, the two-loop scalar QED beta function, and the analytic continuation properties of the effective Lagrangian and its imaginary part.
Dunne Gerald V.
Schubert Christian
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