On the Pairing Structure of the Vacuum induced by a Magnetic Field in 2+1-dimensional Dirac Field Theory

Details On the Pairing Structure of the Vacuum induced by a Magnetic Field in 2+1-dimensional Dirac Field Theory On the Pairing Structure of the Vacuum induced by a Magnetic Field in 2+1-dimensional Dirac Field Theory

1999-06-02

arxiv.org/abs/hep-th/9906014v2

Phys.Lett. B459 (1999) 208-212

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, AMSLaTeX (with LaTe2e), no figures (to be published in Phys. Lett. B)

Scientific paper

10.1016/S0370-2693(99)00685-1

Using a sequence of Bogoliubov transformations, we obtain an exact expression for the vacuum state of a Dirac field in 2+1 dimensions in presence of a constant magnetic field. This expression reveals a peculiar two level pairing structure for any value of the mass m greater than zero. This calculation clarifies the nature of the condensate in the lowest Landau level whose existence has been emphasized recently by a several authors.

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