Disordered system withn orbitals per site: Lagrange formulation, hyperbolic symmetry, and goldstone modes

@article{Schfer1980DisorderedSW,
  title={Disordered system withn orbitals per site: Lagrange formulation, hyperbolic symmetry, and goldstone modes},
  author={Lothar Sch{\"a}fer and Franz Wegner},
  journal={Zeitschrift f{\"u}r Physik B Condensed Matter},
  year={1980},
  volume={38},
  pages={113-126}
}
We give a Lagrange formulation of the gauge invariantn-orbital model for disordered electronic systems recently introduced by Wegner. The derivation proceeds analytically without use of diagrams, and it identifies the previously discussedn→∞ limit as the saddle-point approximation of the Lagrangian formulation. We discover that the Lagrangian model crucially depends on the position with respect to the real axis of the energies involved. If the energies occur on both sides of the real axis as is… CONTINUE READING

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