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Normal Form for Renormalization Groups

delete2019-04-23
delete16
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OA
AI
A
Archishman Raju
C
Colin B. Clement
L
Lorien X. Hayden
J
Jaron Kent-Dobias
D
Danilo B. Liarte
D
D. Zeb Rocklin
J
James P. Sethna *
DOI:10.1103/PhysRevX.9.021014delete
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摘要

摘要

En 中文
The results of the renormalization group are commonly advertised as the existence of power-law singularities near critical points. The classic predictions are often violated and logarithmic and exponential corrections are treated on a case-by-case basis. We use the mathematics of normal form theory to systematically group these into universality families of seemingly unrelated systems united by common scaling variables. We recover and explain the existing literature and predict the nonlinear generalization for the universal homogeneous scaling functions. We show that this procedure leads to a better handling of the singularity even in classic cases and elaborate our framework using several examples.
Keyword:
ISING-MODEL
LOGARITHMIC CORRECTIONS
SCALING THEORY
COULOMB GAS
SYSTEMS
PHASE
CLASSIFICATION
UNIVERSALITY
EQUATIONS
BEHAVIOR
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期刊

Physical Review X 封面图
Physical Review X
IF:
15.7
论文数:
2.7K
被引数:
3.4W

机构

C
Cornell University
学者数:
6.3W
论文数: 5.4W
被引数: 10.9W
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