Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-10-21
Physics
Condensed Matter
Disordered Systems and Neural Networks
22 pages, 14 figures
Scientific paper
10.1103/PhysRevB.60.2239
We develop a dynamical approach based on the Schwinger-Keldysh formalism to derive a field-theoretic description of disordered and interacting electron systems. We calculate within this formalism the perturbative RG equations for interacting electrons expanded around a diffusive Fermi liquid fixed point, as obtained originally by Finkelstein using replicas. The major simplifying feature of this approach, as compared to Finkelstein's is that instead of $N \to 0$ replicas, we only need to consider N=2 species. We compare the dynamical Schwinger-Keldysh approach and the replica methods, and we present a simple and pedagogical RG procedure to obtain Finkelstein's RG equations.
Chamon Claudio
Ludwig Andreas W. W.
Nayak Chetan
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