Disordered Dirac Fermions: Three Different Approaches

  • M. J. Bhaseen
  • J.-S. Caux
  • I. I. Kogan
  • A. M. Tsvelik
Part of the NATO Science Series book series (NAII, volume 23)


In this paper we compare calculations of the multi-point correlation functions at the critical point of the theory of two-dimensional Dirac particles subject to a random SU(2) non-Abelian gauge potential, obtained by three different methods. Critically reexamining the results obtained using the replica formalism and in the limit of infinité disorder strength and comparing them with the calculations made using the supersymmetric formalism, we demonstrate that this ménage à trois of different approaches leads to identical results. This gives rather remarkable relations between apparently different conformai field theories. We also establish a connection between the problem of Dirac fermions and the problem of dense polymers based on the presence of C = −2 theory in all three different descriptions of the disorder.


Conformal Block Conformal Field Theory Dirac Fermion WZNW Model Conformal Embedding 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • M. J. Bhaseen
    • 1
  • J.-S. Caux
    • 1
  • I. I. Kogan
    • 1
  • A. M. Tsvelik
    • 1
  1. 1.Department of PhysicsUniversity of OxfordOxfordUK

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