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
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.
Create a lesson
Related papers
Environmental Effects in Post-Minkowskian Dynamics: Effective Field Theory, Feynman Rules, and Ward Identities for Compact Objects in Relativistic Fluids
Zvi Bern, Samuel Degen, Enrico Herrmann et al.
Toward a Unique Filter for the Gravitational Path Integral
Marc S. Klinger
Young Gerard storming high energy physics
John Iliopoulos
Exploring multi-parameter optimization in FRG
A. Codello, G. P. Vacca, D. Zarrilli
New Bethe vacua for N=2 elliptic models
Antonio Amariti, Pietro Glorioso, Chiara Mascherpa et al.
Holographic correlators with non-supersymmetric multi-particle states
Michele Giorgi, Stefano Giusto