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28 March 2024
 
  » arxiv » cond-mat/9810282

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Schwinger-Keldysh Approach to Disordered and Interacting Electron Systems: Derivation of Finkelstein's Renormalization Group Equations
Claudio Chamon ; Andreas W.W. Ludwig ; Chetan Nayak ;
Date 22 Oct 1998
Subject Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.dis-nn cond-mat.mes-hall cond-mat.str-el
AffiliationBU), Andreas W.W. Ludwig (UCSB), and Chetan Nayak (UCLA
AbstractWe 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 $N o 0$ 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.
Source arXiv, cond-mat/9810282
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