scholarly journals Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture

1971 ◽  
Vol 4 (9) ◽  
pp. 3174-3183 ◽  
Author(s):  
Kenneth G. Wilson
Keyword(s):  
Renormalization Group ◽  
Critical Phenomena ◽  
Scaling Picture

Application of the Real-Space Renormalization Group to Dynamic Critical Phenomena

1978 ◽  
Vol 41 (7) ◽  
pp. 500-503 ◽  
Author(s):  
Gene F. Mazenko ◽  
Michael J. Nolan ◽  
Oriol T. Valls
Keyword(s):  
Renormalization Group ◽  
Critical Phenomena ◽  
Real Space ◽  
Dynamic Critical Phenomena ◽  
The Real ◽  
Real Space Renormalization Group

Renormalization Group

2020 ◽  
pp. 289-318
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Renormalization Group ◽  
Critical Phenomena ◽  
Degrees Of Freedom ◽  
Gaussian Model ◽  
Coupling Constants ◽  
Quantum Field ◽  
Important Notion ◽  
Effective Hamiltonians

Chapter 8 introduces the key ideas of the renormalization group, including how they provide a theoretical scheme and a proper language to face critical phenomena. It covers the scaling transformations of a system and their implementations in the space of the coupling constants and reducing the degrees of freedom. From this analysis, the reader is led to the important notion of relevant, irrelevant and marginal operators and then to the universality of the critical phenomena. Furthermore, the chapter also covers (as regards the RG) transformation laws, effective Hamiltonians, the Gaussian model, the Ising model, operators of quantum field theory, universal ratios, critical exponents and β‎-functions.

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