Infrared decoupling of massive fields and the renormalization group

1975 ◽  
Vol 12 (10) ◽  
pp. 3181-3190 ◽  
Author(s):  
Poul Olesen
Keyword(s):  
Renormalization Group ◽  
Massive Fields

scholarly journals Renormalization group summation with heavy fields

2018 ◽  
Vol 96 (11) ◽  
pp. 1205-1208
Author(s):  
D.G.C. McKeon
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Equation ◽  
Explicit Calculation ◽  
Radiative Corrections ◽  
Group Equation ◽  
Physical Processes ◽  
The Masses ◽  
Massive Fields

The summation of logarithmic contributions to perturbative radiative corrections in physical processes through use of the renormalization group equation has proved to be a useful way of enhancing the information one can obtain from explicit calculation. However, it has proved difficult to perform this summation when massive fields are present. In this work we point out that if the masses involved are quite large, the decoupling theorem of Symanzik and of Appelquist and Carazzone can be used to make the summation of logarithms possible.

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.

scholarly journals Renormalization group study of superfluid phase transition: Effect of compressibility

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Michal Dančo ◽  
Michal Hnatič ◽  
Tomáš Lučivjanský ◽  
Lukáš Mižišin
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Superfluid Phase ◽  
Transition Effect
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