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arXiv · 2410.02361

Large Orders and Strong-Coupling Limit in Functional Renormalization

Mikhail N. Semeikin·Kay Joerg Wiese
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Abstract

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.

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Mikhail N. Semeikin, Kay Joerg Wiese. 2024-10-03. Large Orders and Strong-Coupling Limit in Functional Renormalization. https://doi.org/10.1103/tt5r-fxg9

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