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Renormalization group
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==References== ===Historical references=== * {{cite journal |author-link=Michael Fisher |first=Michael |last=Fisher |year=1974 |title=The renormalization group in the theory of critical behavior |journal=Rev. Mod. Phys. |volume=46 |issue=4 |page=597|doi=10.1103/RevModPhys.46.597 |bibcode=1974RvMP...46..597F }} ===Pedagogical and historical reviews=== * {{cite journal |first=S.R. |last=White |year=1992 |title=Density matrix formulation for quantum renormalization groups |journal=Physical Review Letters |volume=69 |issue=19 |pages=2863β2866 |doi=10.1103/PhysRevLett.69.2863 |pmid=10046608 |bibcode=1992PhRvL..69.2863W }} The most successful variational RG method. * {{cite book |first=N. |last=Goldenfeld |year=1993 |title=Lectures on phase transitions and the renormalization group |publisher=Addison-Wesley}} * {{cite arXiv |author-link=Dmitry Shirkov |first=Dmitry V. |last=Shirkov |year=1999 |title=Evolution of the Bogoliubov Renormalization Group |eprint=hep-th/9909024}} A mathematical introduction and historical overview with a stress on [[group theory]] and the application in high-energy physics. * {{cite journal |first=B. |last=Delamotte |title=A hint of renormalization |url=http://scitation.aip.org/journals/doc/AJPIAS-ft/vol_72/iss_2/170_1.html |journal=American Journal of Physics |volume=72 |issue=2 |pages=170β184 |date=February 2004 |arxiv=hep-th/0212049|doi=10.1119/1.1624112 |bibcode=2004AmJPh..72..170D |s2cid=2506712 }} A pedestrian introduction to renormalization and the renormalization group. * {{cite journal |first1=H.J. |last1=Maris |first2=L.P. |last2=Kadanoff |title=Teaching the renormalization group |journal=American Journal of Physics |date=June 1978 |volume=46 |issue=6 |pages=652β657 |doi=10.1119/1.11224|bibcode=1978AmJPh..46..652M |s2cid=123119591 }} A pedestrian introduction to the renormalization group as applied in condensed matter physics. * {{cite journal |first=K. |last=Huang |year=2013 |title=A Critical History of Renormalization |journal=International Journal of Modern Physics A |volume=28 |issue=29 |pages=1330050 |arxiv=1310.5533|doi=10.1142/S0217751X13300500 |bibcode=2013IJMPA..2830050H }} *{{cite magazine |last=Shirkov |first=D.V. |date=2001-08-31 |url=http://cerncourier.com/cws/article/cern/28487 |title=Fifty years of the renormalization group |magazine=CERN Courier |access-date=2008-11-12 |df=dmy-all}} *{{cite journal |last1=Bagnuls |first1=C. |last2=Bervillier |first2=C. |title=Exact renormalization group equations: an introductory review |journal=Physics Reports |volume=348 |issue=1β2 |pages=91β157 |year=2001 |doi=10.1016/S0370-1573(00)00137-X |arxiv=hep-th/0002034 |bibcode=2001PhR...348...91B|s2cid=18274894 }} ===Books=== *[[Tsung-Dao Lee|T. D. Lee]]; ''Particle physics and introduction to field theory'', Harwood academic publishers, 1981, {{ISBN|3-7186-0033-1}}. Contains a Concise, simple, and trenchant summary of the group structure, in whose discovery he was also involved, as acknowledged in Gell-Mann and Low's paper. *L. Ts. Adzhemyan, N. V. Antonov and A. N. Vasiliev; ''The Field Theoretic Renormalization Group in Fully Developed Turbulence''; Gordon and Breach, 1999. {{ISBN|90-5699-145-0}}. *Vasil'ev, A. N.; ''The field theoretic renormalization group in critical behavior theory and stochastic dynamics''; Chapman & Hall/CRC, 2004. {{ISBN|9780415310024}} (Self-contained treatment of renormalization group applications with complete computations); *[[Jean Zinn-Justin|Zinn-Justin, Jean]] (2002). ''Quantum field theory and critical phenomena'', Oxford, Clarendon Press (2002), {{ISBN|0-19-850923-5}} (an exceptionally solid and thorough treatise on both topics); *[[Jean Zinn-Justin|Zinn-Justin, Jean]]: ''Renormalization and renormalization group: From the discovery of UV divergences to the concept of effective field theories'', in: de Witt-Morette C., Zuber J.-B. (eds), Proceedings of the NATO ASI on ''Quantum Field Theory: Perspective and Prospective'', June 15β26, 1998, Les Houches, France, Kluwer Academic Publishers, NATO ASI Series C 530, 375-388 (1999) [ISBN ]. Full text available in [http://www-spht.cea.fr/articles/t98/118/ ''PostScript'']. *[[Hagen Kleinert|Kleinert, H.]] and Schulte Frohlinde, V; ''Critical Properties of {{mvar|Ο}}<sup>4</sup>-Theories'', [http://www.worldscibooks.com/physics/4733.html World Scientific (Singapore, 2001)]; Paperback {{ISBN|981-02-4658-7}}''. Full text available in [http://www.physik.fu-berlin.de/~kleinert/b8 PDF]. {{Industrial and applied mathematics}} [[Category:Renormalization group| ]] [[Category:Quantum field theory]] [[Category:Statistical mechanics]] [[Category:Scaling symmetries]] [[Category:Mathematical physics]]
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