Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-09-21
Phys.Rev. D57 (1998) 2443-2447
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, ReVTeX, 2 postscript figures included
Scientific paper
10.1103/PhysRevD.57.2443
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.
Dicus Duane A.
Kao Chi-Chang
Repko Wayne W.
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