scholarly journals Functional and local renormalization groups

2015 ◽  
Vol 91 (12) ◽  
Author(s):  
Alessandro Codello ◽  
Giulio D’Odorico ◽  
Carlo Pagani
Keyword(s):  
Renormalization Groups

Real-space quantum renormalization groups

1992 ◽  
Vol 68 (24) ◽  
pp. 3487-3490 ◽  
Author(s):  
S. R. White ◽  
R. M. Noack
Keyword(s):  
Real Space ◽  
Renormalization Groups

Manifestly gauge invariant exact renormalization groups

2007 ◽  
pp. 1-25
Author(s):  
Stefano Arnone ◽  
Tim Morris ◽  
Oliver Rosten
Keyword(s):  
Gauge Invariant ◽  
Renormalization Groups

From infinities in quantum electrodynamics to the general renormalization group

2019 ◽  
pp. 53-68
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Effective Field Theory ◽  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Essential Role ◽  
Effective Field ◽  
Fine Tuning ◽  
Field Theories ◽  
Higgs Particle ◽  
Renormalization Groups ◽  
Statistical Field

Chapter 4 describes a few important steps which have led from the discovery of infinities in quantum electrodynamics in the calculation of Feynman diagrams (ultraviolet divergences (UV divergences)) to the concept of renormalization and renormalization groups (RG). The constructions of quantum (or statistical) field theories (QFTs) and the deeply related RG have been some of the major theoretical achievements in physics of the last century. RG today plays an essential role in the understanding of the properties of QFT and of continuous macroscopic phase transitions. The existence of RG fixed points makes it possible to understand universality when there is no scale decoupling. In particle physics, it leads to the notion of effective field theory and the fine tuning problem in the Higgs particle sector.

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