On Superconductors,Superfluids and Torsion Vortices

Abstract

The Meissner effect for superconductors in spacetimes with torsion is revisited. Two new physical interpretations are presented. The first considers the Landau-Ginzburg theory yields a new symmetry-breaking vacuum depending on torsion. In the second interpretation a gravitational Meissner torsional effect where when the Higgs field vanishes, torsion and electromagnetic fields need not vanish and outside the Abrikosov tubes a torsion vector analogous to the Maxwell potential is obtained. The analogy is even stronger if we think that in this case the torsion vector has to be derivable from a torsion potential. Another solution of Landau-Ginzburg equation is shown to lead naturally to the geometrization of the electromagnetism in terms of the torsion field. As an application we show that Landau-Ginzburg equations extended to Cartan spaces allow us to determine torsion in the case when the order parameter is frozen to a minimum. It is shown that the presence of torsion in solid state physics changes the ground state of the superfluid phases.