Nonlinear Phenomena in Complex Systems, 2014, Vol.17, No.4, pp.377-380

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2014, Vol.17, No.4, pp.377-380

Fractional Effective Action at Strong Electromagnetic Fields
Hagen Kleinert, Eckhard Strobel and She-Sheng Xue

In 1936, Weisskopf [K. Dan. Vidensk. Selsk. Mat. Fys. Medd. XIV (1936)] showed that for vanishing electric or magnetic fields the strong-field behavior of the one-loop Euler–Heisenberg effective Lagrangian of quantum electrodynamics (QED) is logarithmic. This result can be generalized for different limits of the Lorentz invariants. The logarithmic dependence can be interpreted as a lowest-order manifestation of an anomalous power behavior of the effective Lagrangian of QED.

Key words: QED, effective action, Euler–Heisenberg, strong fields

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