String-Like Electrostatic Interaction from QED with Infinite Magnetic   Field
  In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the string. The energy of the string breaking is finite and very close to the effective photon mass. 
A.E. Shabad (1) and V.V. Usov (2) (1) (P.N. Lebedev Physics Institute,   Moscow, Russia) (2) (Center for Astrophysics, Weizm...