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Condensed Matter > Strongly Correlated Electrons
Title: Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism
(Submitted on 31 Oct 2023 (v1), last revised 22 Mar 2024 (this version, v2))
Abstract: We demonstrate how to devise a Matsubara-formalism-based one-loop approximation to the flow of the functional renormalization group (FRG) that reproduces identically the leading-logarithmic parquet approximation. This construction of a controlled fermionic FRG approximation in a regime not accessible by perturbation theory generalizes a previous study from the real-time zero-temperature formalism to the Matsubara formalism and thus to the de facto standard framework used for condensed-matter FRG studies. Our investigation is based on a simple model for the absorption of x rays in metals. It is a core part of our construction to exploit that in a suitable leading-logarithmic approximation the values of the particle-hole susceptibility on the real- and on the imaginary-frequency axes are identical.
Submission history
From: Severin Jakobs [view email][v1] Tue, 31 Oct 2023 17:20:26 GMT (329kb,D)
[v2] Fri, 22 Mar 2024 12:19:04 GMT (329kb,D)
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