Lattice Green functions for pedestrians: Exponential decay
| Autor: | Dybalski, Wojciech, Stottmeister, Alexander, Tanimoto, Yoh |
|---|---|
| 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 |
| Externí odkaz: |
|