Lattice Green functions for pedestrians: Exponential decay
Autor: | Dybalski, Wojciech, Stottmeister, Alexander, Tanimoto, Yoh |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | The exponential decay of lattice Green functions is one of the main technical ingredients of the Ba{\l}aban's approach to renormalization. We give here a self-contained proof, whose various ingredients were scattered in the literature. The main sources of exponential decay are the Combes-Thomas method and the analyticity of the Fourier transforms. They are combined using a renormalization group equation and the method of images. Comment: 55 pages, 1 figure |
Databáze: | arXiv |
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