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

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.

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

References in corpus (4)

• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Inhomogeneous Condensates in Planar QED
• Spin polarisation by external magnetic fields, Aharonov-Bohm flux strings, and chiral symmetry breaking in QED${}_3$
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Cited by in corpus (2)

• Magnetic field driven instability in planar NJL model in real-time formalism
• Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD