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arXiv · hep-ph/9709415

Effective Lagrangians and low energy photon-photon scattering

Duane A. Dicus·Chung Kao·Wayne W. Repko
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Abstract

We use the behavior of the photon-photon scattering for photon energies $ω$ less than the electron mass, $m_e$, to examine the implications of treating the Euler-Heisenberg Lagrangian as an effective field theory. Specifically, we determine the $ω^2/m_e^2$ behavior of the scattering amplitude predicted by including one-loop corrections to the Euler-Heisenberg effective Lagrangian together with the counterterms required by renomalizability. This behavior is compared with the energy dependence obtained by expanding the exact QED photon-photon scattering amplitude. If the introduction of counterterms in the effective field theory is restricted to those determined by renormalizability, the $ω^2/m_e^2$ dependences of the two expansions differ.

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Duane A. Dicus, Chung Kao, Wayne W. Repko. 1998-01-31. Effective Lagrangians and low energy photon-photon scattering. https://doi.org/10.1103/physrevd.57.2443

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