### Effective Lagrangians and low energy photon-photon scatteringEffective Lagrangians and low energy photon-photon scattering

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 Author Dicus, Duane A. ♦ Kao, Chung ♦ Repko, Wayne W. Source arXiv.org Content type Text File Format PDF Date of Submission 1997-09-21 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Phenomenology ♦ physics:hep-ph Abstract We use the behavior of the photon-photon scattering for photon energies $\omega$ 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 $\omega^2/m_e^2$ 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 $\omega^2/m_e^2$ dependences of the two expansions differ. Description Reference: Phys.Rev. D57 (1998) 2443-2447 Educational Use Research Learning Resource Type Article Page Count 10