Journal or Book Title
Physical Review A
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 Î¸F is found to increase with the beam intensity I as Î¸F âˆ¼ I4/3; for the laser beams available at present or in the near future, Î¸F 10-10 - 10-7.
American Physical Society
Kharzeev, Dmitri and Tuchin, Kirill, "Vacuum self-focusing of very intense laser beams" (2007). Physics and Astronomy Publications. 132.