Details
| Original language | English |
|---|---|
| Article number | 2430005 |
| Number of pages | 76 |
| Journal | Reviews in Mathematical Physics |
| Volume | 36 |
| Issue number | 6 |
| Publication status | Published - 12 Mar 2024 |
Abstract
Keywords
- math-ph, math.MP, renormalization, propagators, Quantum field theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Reviews in Mathematical Physics, Vol. 36, No. 6, 2430005, 12.03.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Lattice Green functions for pedestrians
T2 - Exponential decay
AU - Dybalski, Wojciech
AU - Stottmeister, Alexander
AU - Tanimoto, Yoh
N1 - Publisher Copyright: © 2024 by the Authors.
PY - 2024/3/12
Y1 - 2024/3/12
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
KW - renormalization
KW - propagators
KW - Quantum field theory
UR - http://www.scopus.com/inward/record.url?scp=85187924170&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2303.10754
DO - 10.48550/arXiv.2303.10754
M3 - Article
VL - 36
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
SN - 0129-055X
IS - 6
M1 - 2430005
ER -