Variational approximations for renormalization group transformations

1976 ◽  
Vol 14 (2) ◽  
pp. 171-203 ◽  
Author(s):  
Leo P. Kadanoff ◽  
Anthony Houghton ◽  
Mehmet C. Yalabik
Keyword(s):  
Renormalization Group ◽  
Variational Approximations

scholarly journals Variational approximations for renormalization group transformations

1976 ◽  
Vol 15 (3) ◽  
pp. 263-263 ◽  
Author(s):  
Leo P. Kadanoff ◽  
Anthony Houghton ◽  
Mehmet C. Yalabik
Keyword(s):  
Renormalization Group ◽  
Variational Approximations

Comment on "Variational approximations for renormalization-group transformations"

1979 ◽  
Vol 19 (1) ◽  
pp. 529-532 ◽  
Author(s):  
Yu Ming Shih ◽  
Dong Chuang Jou ◽  
C. K. Pan ◽  
W. S. Lee ◽  
Wen Den Chen ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Variational Approximations

The renormalization group and ultraviolet asymptotics

1979 ◽  
Vol 129 (11) ◽  
pp. 407 ◽  
Author(s):  
A.A. Vladimirov ◽  
D.V. Shirkov
Keyword(s):  
Renormalization Group

Phenomenological Renormalization Group and Cluster Approximation

2014 ◽  
Vol 59 (7) ◽  
pp. 655-662
Author(s):  
O. Borisenko ◽  
◽  
V. Chelnokov ◽  
V. Kushnir ◽  
◽  
...  
Keyword(s):  
Renormalization Group ◽  
Cluster Approximation ◽  
Phenomenological Renormalization

Renormalization Group

2020 ◽  
Author(s):  
Giuseppe Benfatto ◽  
Giovanni Gallavotti
Keyword(s):  
Renormalization Group

The Non-Causal Character of Renormalization Group Explanations

2018 ◽  
Author(s):  
Margaret Morrison
Keyword(s):  
Probability Theory ◽  
Renormalization Group ◽  
Dynamical Systems ◽  
Recent Literature ◽  
Mathematical Explanation ◽  
Causal Status ◽  
Physical Information ◽  
The Relationship ◽  
Structural Aspects

After reviewing some of the recent literature on non-causal and mathematical explanation, this chapter develops an argument as to why renormalization group (RG) methods should be seen as providing non-causal, yet physical, information about certain kinds of systems/phenomena. The argument centres on the structural character of RG explanations and the relationship between RG and probability theory. These features are crucial for the claim that the non-causal status of RG explanations involves something different from simply ignoring or “averaging over” microphysical details—the kind of explanations common to statistical mechanics. The chapter concludes with a discussion of the role of RG in treating dynamical systems and how that role exemplifies the structural aspects of RG explanations which in turn exemplifies the non-causal features.

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