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

Giovanni Jona-Lasinio·Francesca Maria Marchetti
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Abstract

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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Giovanni Jona-Lasinio, Francesca Maria Marchetti. 1999-06-14. On the Pairing Structure of the Vacuum induced by a Magnetic Field in 2+1-dimensional Dirac Field Theory. https://doi.org/10.1016/s0370-2693(99)00685-1

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