Physics
Scientific paper
Feb 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006phrvd..73d5005w&link_type=abstract
Physical Review D, vol. 73, Issue 4, id. 045005
Physics
1
Quantum Electrodynamics, Electromagnetic Wave Propagation, Radiowave Propagation, Elementary Particle Processes, Neutron Stars
Scientific paper
The S-matrix form for the polarization tensor of the magnetized vacuum involves an integral over the parallel momentum, pz, and a sum over the Landau levels of the virtual electrons and positrons. When the integrals over pz are evaluated, they exhibit resonant-type behavior at each of the pair-creation thresholds. Emphasis is initially placed on the regime of soft photons, where simpler integrals are solved. When the sum is taken using the Euler-Maclaurin summation formula and the result is regularized, the known dispersive properties are reproduced for ω≪m. We evaluate the corrections of order ω2 to these refractive indices and argue that they do not affect the known kinematic selection rules for photon splitting. With a simple modification to the low-frequency results, refractive indices are evaluated at frequencies up to just above the first pair-creation threshold, for supercritical magnetic fields.
Melrose Donald B.
Weise Jeanette I.
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