Electron-electron interactions in disordered metals: keldysh formalism

Research output: Contribution to journalArticlepeer-review

208 Scopus citations


We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In addition, it naturally allows for the treatment of nonequilibrium effects. Employing the gauge invariance of the theory and carefully choosing the saddle point in the Q-matrix manifold, we separate purely phase effects of the fluctuating potential from the ones that change quasiparticle dynamics. As a result, the cancellation of super-divergent diagrams (double logarithms in (Formula presented) is automatically built into the formalism. As a by-product we derive a nonperturbative expression for the single-particle density of states. The remaining low-energy (Formula presented) model describes the quantum fluctuations of the electron distribution function. Its saddle-point equation appears to be the quantum kinetic equation with the appropriate collision integral along with collisionless terms. The Altshuler-Aronov corrections to the conductivity are shown to arise from the one-loop quantum fluctuation effects.

Original languageEnglish (US)
Pages (from-to)2218-2238
Number of pages21
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - 1999


Dive into the research topics of 'Electron-electron interactions in disordered metals: keldysh formalism'. Together they form a unique fingerprint.

Cite this