Abstract
We have rederived the controversial influence functional approach of Golubev and Zaikin (GZ) for interacting electrons in disordered metals in a way that allows us to show its equivalence, before disorder averaging, to diagrammatic Keldysh perturbation theory. By representing a certain Pauli factor \( (\tilde \delta - 2\tilde \rho ^0 ) \) occuring in GZ’s effective action in the frequency domain (instead of the time domain, as GZ do), we also achieve a more accurate treatment of recoil effects. With this change, GZ’s approach reproduces, in a remarkably simple way, the standard, generally accepted result for the decoherence rate.
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References
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The expressions for \( \tilde \sum \) that we published in [14], Eqs. (A.16), contain incorrect signs and missing factors of \( \tfrac{1} {2} \), and should be replaced by Eqs. (8.A.10) of this paper.
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von Delft, J. (2004). Influence Functional for Decoherence of Interacting Electrons in Disordered Conductors. In: Lerner, I.V., Altshuler, B.L., Gefen, Y. (eds) Fundamental Problems of Mesoscopic Physics. NATO Science Series II: Mathematics, Physics and Chemistry, vol 154. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2193-3_8
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