title: Quantum effects in the evolution of vortices in the electromagnetic field.
abstract: We analyze the influence of electron-positron pairs creation on the motion of vortex lines in electromagnetic field. In our approach the electric and magnetic fields satisfy nonlinear equations derived from the Euler-Heisenberg effective Lagrangian. We show that these nonlinearities may change the evolution of vortices.
authors.affiliation: Department of Mathematical Methods in Physics, Faculty of Physics, Warsaw University, Hoza 74, 00-682 Warsaw, Poland. torado@fuw.edu.pl
authors.forename: Tomasz
authors.initials: T
authors.lastname: Radozycki