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Lattice Green functions for pedestrians: Exponential decay.
- Source :
-
Reviews in Mathematical Physics . Jul2024, Vol. 36 Issue 6, p1-76. 76p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0129055X
- Volume :
- 36
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Reviews in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 177678897
- Full Text :
- https://doi.org/10.1142/S0129055X2430005X