Non-linear supersymmetric Sigma-Model for Scalar Classical Waves

Details Non-linear supersymmetric Sigma-Model for Scalar Classical Waves Non-linear supersymmetric Sigma-Model for Scalar Classical Waves

1998-02-18

arxiv.org/abs/cond-mat/9802195v1

Europhys.Lett.41:13-18,1998

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, TeX, to be published in Phys. Rev. E

Scientific paper

10.1209/epl/i1998-00109-0

We derive a non-linear supersymmetric sigma-model for the transport of light (classical waves) through a disordered medium. We compare this model with the well-established non-linear sigma-model for the transport of electrons (Schroedinger waves) and display similarities of and differences between both cases. We show that for weak disorder, both models are equivalent (have the same effective Lagrangean). This effective Lagrangean correctly reproduces the (different) Ward identities for Schroedinger waves and for classical waves.

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