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Nonlinear supersymmetric σ model for scalar classical waves
We derive a nonlinear supersymmetric $\ensuremath{\sigma}$ model for the transport of light (classical waves) through a disordered medium. We compare this model with the well-established nonlinear $\ensuremath{\sigma}$ model for the transport of electrons (Schr\"odinger waves) and display similarities of and differences between both cases. We show that for weak disorder …