Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 19 Mar 2023 |
Abstract
Keywords
- math-ph, math.MP
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2023.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Lattice Green functions for pedestrians
T2 - Exponential decay
AU - Dybalski, Wojciech
AU - Stottmeister, Alexander
AU - Tanimoto, Yoh
N1 - 55 pages, 1 figure
PY - 2023/3/19
Y1 - 2023/3/19
N2 - 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.
AB - 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.
KW - math-ph
KW - math.MP
U2 - 10.48550/arXiv.2303.10754
DO - 10.48550/arXiv.2303.10754
M3 - Preprint
BT - Lattice Green functions for pedestrians
ER -