Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910378309451776 |
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| author | Diekmann, Jan Jakobs, Severin G. |
| author_facet | Diekmann, Jan Jakobs, Severin G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20648 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism Diekmann, Jan Jakobs, Severin G. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics 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. |
| title | Leading-logarithmic approximation by one-loop renormalization group within Matsubara formalism |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2310.20648 |