Spontaneous electromagnetic superconductivity of vacuum induced by a strong magnetic field: QCD and electroweak theory
M. N. Chernodub, J. Van Doorsselaere, H. Verschelde

TL;DR
This paper compares the vacuum superconducting states induced by strong magnetic fields in both QCD and electroweak theory, highlighting their structural similarities and unique properties.
Contribution
It provides a unified analysis of charged vector condensates and their superconducting features in different gauge theories under strong magnetic fields.
Findings
Vacuum develops charged vector condensates at critical magnetic fields
Condensates form Abrikosov lattice structures
Superconducting properties are similar across theories
Abstract
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.
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