Self-duality, Helicity and Higher-loop Euler-Heisenberg Effective Actions

Physics – High Energy Physics – High Energy Physics - Theory

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7 pp, latex, axodraw.sty; Based on talks given by G. Dunne at QTS3 (Cincinnati, OH, Sept. 2003) and QFEXT03 (Norman, OK, Sept.

Scientific paper

The Euler-Heisenberg effective action in a self-dual background is remarkably simple at two-loop. This simplicity is due to the inter-relationship between self-duality, helicity and supersymmetry. Applications include two-loop helicity amplitudes, beta-functions and nonperturbative effects. The two-loop Euler-Heisenberg effective Lagrangian for QED in a self-dual background field is naturally expressed in terms of one-loop quantities. This mirrors similar behavior recently found in two-loop amplitudes in N=4 SUSY Yang-Mills theory.

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