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- Title
Lattice Green functions for pedestrians: Exponential decay.
- Authors
Dybalski, Wojciech; Stottmeister, Alexander; Tanimoto, Yoh
- Abstract
The exponential decay of lattice Green functions is one of the main technical ingredients of the Bałaban'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.
- Subjects
GREEN'S functions; EXPONENTIAL functions; RENORMALIZATION group; QUANTUM field theory; FOURIER transforms
- Publication
Reviews in Mathematical Physics, 2024, Vol 36, Issue 6, p1
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X2430005X