Virial expansion of the nonlinear sigma model in the strong coupling limit

  title={Virial expansion of the nonlinear sigma model in the strong coupling limit},
  author={A. Ossipov},
  journal={Journal of Physics A},
  • A. Ossipov
  • Published 1 June 2012
  • Physics
  • Journal of Physics A
We develop a perturbative approach to study the supersymmetric nonlinear sigma model characterized by a generic coupling matrix in the strong coupling limit. The method allows us to calculate explicitly the moments of the eigenfunctions and the two-level correlation function in the lowest order of the perturbative expansion. We find that the obtained expressions are equivalent to the results derived before for the corresponding random matrix ensembles. Such an equivalence is elucidated and… 


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