Spin gauge theory, duality and fermion pairing


Abstract in English

We apply duality transformation to the Abelian Higgs model in 3+1 dimensions in the presence of electrons coupled to the gauge field. The Higgs field is in the symmetry broken phase, when flux strings can form. Dualization brings in an antisymmetric tensor potential $B_{mu u}$,, which couples to the electrons through a nonlocal interaction which can be interpreted as a coupling to the spin current. It also couples to the string worldsheet and gives rise to a string Higgs mechanism via the condensation of flux strings. In the phase where the $B_{mu u}$ field is massless, the nonlocal interaction implies a linearly rising attractive force between the electrons.

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