Spontaneous electromagnetic superconductivity of vacuum induced by a   strong magnetic field: QCD and electroweak theory
  Both in electroweak theory and QCD, the vacuum in strong magnetic fields develops charged vector condensates once a critical value of the magnetic field is reached. Both ground states have a similar Abrikosov lattice structure and superconducting properties. It is the purpose of these proceedings to put the condensates and their superconducting properties side by side and obtain a global view on this type of condensates. Some peculiar aspects of the superfluidity and backreaction of the condensates are also discussed. 
M. N. Chernodub, J. Van Doorsselaere, H. Verschelde
hep-ph hep-lat hep-th