Large Orders and Strong-Coupling Limit in Functional Renormalization
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911290847395840 |
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| author | Semeikin, Mikhail N. Wiese, Kay Joerg |
| author_facet | Semeikin, Mikhail N. Wiese, Kay Joerg |
| contents | We study the large-order behavior of the functional renormalization group (FRG). For a model in dimension zero, we establish Borel-summability for a large class of microscopic couplings. Writing the derivatives of FRG as contour integrals, we express the Borel-transform as well as the original series as integrals. Taking the strong-coupling limit in this representation, we show that all short-ranged microscopic disorders flow to the same universal fixed point. Our results are relevant for FRG in disordered elastic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large Orders and Strong-Coupling Limit in Functional Renormalization Semeikin, Mikhail N. Wiese, Kay Joerg High Energy Physics - Theory Disordered Systems and Neural Networks Statistical Mechanics We study the large-order behavior of the functional renormalization group (FRG). For a model in dimension zero, we establish Borel-summability for a large class of microscopic couplings. Writing the derivatives of FRG as contour integrals, we express the Borel-transform as well as the original series as integrals. Taking the strong-coupling limit in this representation, we show that all short-ranged microscopic disorders flow to the same universal fixed point. Our results are relevant for FRG in disordered elastic systems. |
| title | Large Orders and Strong-Coupling Limit in Functional Renormalization |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2410.02361 |