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We argue that long-range photon-photon attraction induced by the dipole interaction of two electron-positron loops can lead to ``vacuum self-focusing'' of very intense laser beams. The focusing angle θF is found to increase with the beam intensity I as θF~I4∕3; for the laser beams available at present or in the near future, θF10^-10--10^-7.
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Kharzeev et al. (2007) studied this question.
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