Vacuum superconductivity, conventional superconductivity and Schwinger pair production
M. N. Chernodub

TL;DR
This paper explores a phase transition of the quantum vacuum into an anisotropic superconducting state under extremely strong magnetic fields, involving quark-antiquark condensates and drawing parallels with conventional superconductivity and Schwinger pair production.
Contribution
It introduces the concept of vacuum becoming superconducting at a critical magnetic field and analyzes the interplay of electromagnetic and strong interactions in this process.
Findings
Vacuum can transition to a superconducting phase at B_c ≈ 10^{16} Tesla.
The new phase involves charged and neutral condensates with meson quantum numbers.
The ground state features a honeycomblike vortex lattice structure.
Abstract
In a background of a very strong magnetic field a quantum vacuum may turn into a new phase characterized by anisotropic electromagnetic superconductivity. The phase transition should take place at a critical magnetic field of the hadronic strength (B_c \approx 10^{16} Tesla or eB_c \approx 0.6 GeV^2). The transition occurs due to an interplay between electromagnetic and strong interactions: virtual quark-antiquark pairs popup from the vacuum and create -- due to the presence of the intense magnetic field -- electrically charged and electrically neutral spin-one condensates with quantum numbers of \rho mesons. The ground state of the new phase is a complicated honeycomblike superposition of superconductor and superfluid vortex lattices surrounded by overlapping charged and neutral condensates. In this talk we discuss similarities and differences between the superconducting state of…
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