Renormalization group and fixed points. In quantum field theory
type: Item
instance of: scholarly article
title: Renormalization group and fixed points. In quantum field theory
zbMATH Open document ID: 1267.81006
DOI: 10.1007/978-3-642-36312-2
author: Timothy J. Hollowood
published in: SpringerBriefs in Physics
publication date: 2013-04-16T00:00:00Z
review text: The renormalization group (RG) refers to a mathematical technique allowing investigation of changes in scale, whether in statistical physics or in quantum field theory. The RG theory, as applied to critical phenomena, was developed by Kadanoff, Ken Wilson, Kogut, Wegener and many others in the years 1974-2000. The RG is intimately related to the concept of scale invariance and the Callan-Symanzik equation. The RG equations appear as a consequence of the necessity of renormalization of Lagrangian field theories. The present short monograph stresses Wilson's version of the RG and the importance of fixed points in those theories. It starts with scalar fields and then passes to gauge theories and running couplings. Finally, a short description SUSY is provided with the beta function of Novikov, Shifman, Vainshtein and Zahakarov.
Mathematics Subject Classification ID: 81-02
Mathematics Subject Classification ID: 81T17
Mathematics Subject Classification ID: 81T16
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 6154603
zbMATH Keywords: renormalization group
zbMATH Keywords: fixed Points
zbMATH Keywords: scale invariance
zbMATH Keywords: scalar fields
zbMATH Keywords: sypersymmetry
zbMATH Keywords: beta function
reviewed by: Gert Roepstorff
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-642-36312-2
OpenAlex ID: W2506657073
description: scientific article; zbMATH DE number 6154603