Editing Renormalization (section)

== Further reading ==

=== General introduction ===
* DeDeo, Simon; [https://www.complexityexplorer.org/tutorials/67-introduction-to-renormalization ''Introduction to Renormalization''] (2017). [[Santa Fe Institute]] Complexity Explorer MOOC. Renormalization from a complex systems point of view, including Markov Chains, Cellular Automata, the real space Ising model, the Krohn-Rhodes Theorem, QED, and rate distortion theory.
* {{cite journal |doi=10.1119/1.1624112 |arxiv=hep-th/0212049|title=A hint of renormalization|journal=American Journal of Physics|volume=72|issue=2|pages=170–184|year=2004|last1=Delamotte|first1=Bertrand|bibcode=2004AmJPh..72..170D|s2cid=2506712}}
* Baez, John; [http://math.ucr.edu/home/baez/renormalization.html ''Renormalization Made Easy''], (2005). A qualitative introduction to the subject.
* Blechman, Andrew E.; [https://web.archive.org/web/20160801034555/http://www.pha.jhu.edu/~blechman/papers/renormalization/renormalization.pdf ''Renormalization: Our Greatly Misunderstood Friend''], (2002). Summary of a lecture; has more information about specific regularization and divergence-subtraction schemes.
* {{cite journal |doi=10.1007/BF01255832|title=The conceptual foundations and the philosophical aspects of renormalization theory|journal=Synthese|volume=97|pages=33–108|year=1993|last1=Cao|first1=Tian Yu|last2=Schweber|first2=Silvan S.|s2cid=46968305}}
* [[Dmitry Shirkov|Shirkov, Dmitry]]; ''Fifty Years of the Renormalization Group'', C.E.R.N. Courrier 41(7) (2001). Full text available at : [http://www.cerncourier.com/main/article/41/7/14 ''I.O.P Magazines''].
* E. Elizalde; ''Zeta regularization techniques with Applications''.

=== Mainly: quantum field theory ===
*[[Nikolay Bogoliubov|N. N. Bogoliubov]], [[Dmitry Shirkov|D. V. Shirkov]] (1959): ''The Theory of Quantized Fields''. New York, Interscience. The first text-book on the [[renormalization group]] theory.
* Ryder, Lewis H.; ''Quantum Field Theory '' (Cambridge University Press, 1985), {{ISBN|0-521-33859-X}} Highly readable textbook, certainly the best introduction to relativistic Q.F.T. for particle physics.
* Zee, Anthony; ''Quantum Field Theory in a Nutshell'', Princeton University Press (2003) {{ISBN|0-691-01019-6}}. Another excellent textbook on Q.F.T.
* Weinberg, Steven; ''The Quantum Theory of Fields'' (3 volumes) Cambridge University Press (1995). A monumental treatise on Q.F.T. written by a leading expert, [http://nobelprize.org/physics/laureates/1979/weinberg-lecture.html ''Nobel laureate 1979''].
* Pokorski, Stefan; ''Gauge Field Theories'', Cambridge University Press (1987) {{ISBN|0-521-47816-2}}.
* 't Hooft, Gerard; ''The Glorious Days of Physics – Renormalization of Gauge theories'', lecture given at Erice (August/September 1998) by the [http://nobelprize.org/physics/laureates/1999/thooft-autobio.html ''Nobel laureate 1999''] . Full text available at: [https://arxiv.org/abs/hep-th/9812203 ''hep-th/9812203''].
* Rivasseau, Vincent; ''An introduction to renormalization'', Poincaré Seminar (Paris, Oct. 12, 2002), published in : Duplantier, Bertrand; Rivasseau, Vincent (Eds.); ''Poincaré Seminar 2002'', Progress in Mathematical Physics 30, Birkhäuser (2003) {{ISBN|3-7643-0579-7}}. Full text available in [http://www.bourbaphy.fr/Rivasseau.ps ''PostScript''].
* Rivasseau, Vincent; ''From perturbative to constructive renormalization'', Princeton University Press (1991) {{ISBN|0-691-08530-7}}. Full text available in [http://cpth.polytechnique.fr/cpth/rivass/articles/book.ps ''PostScript'']{{Dead link|date=October 2022 |bot=InternetArchiveBot |fix-attempted=yes }} and in [http://www.rivasseau.com/resources/book.pdf PDF (draft version)]. <!-- PDF link from author's homepage: http://www.rivasseau.com/3.html -->
* Iagolnitzer, Daniel & Magnen, J.; ''Renormalization group analysis'', Encyclopaedia of Mathematics, Kluwer Academic Publisher (1996). Full text available in PostScript and pdf [https://web.archive.org/web/20060630015233/http://www-spht.cea.fr/articles/t96/037/ ''here''].
* Scharf, Günter; ''Finite quantum electrodynamics: The causal approach'', Springer Verlag Berlin Heidelberg New York (1995) {{ISBN|3-540-60142-2}}.
* A. S. Švarc ([[Albert Schwarz]]), Математические основы квантовой теории поля, (Mathematical aspects of quantum field theory), Atomizdat, Moscow, 1975. 368 pp.

=== Mainly: statistical physics ===
* A. N. Vasil'ev; ''The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics'' (Routledge Chapman & Hall 2004); {{ISBN|978-0-415-31002-4}}
* [[Nigel Goldenfeld]]; ''Lectures on Phase Transitions and the Renormalization Group'', Frontiers in Physics 85, Westview Press (June, 1992) {{ISBN|0-201-55409-7}}. Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book emphasizes understanding and clarity rather than technical manipulations.
* Zinn-Justin, Jean; ''Quantum Field Theory and Critical Phenomena'', Oxford University Press (4th edition – 2002) {{ISBN|0-19-850923-5}}. A masterpiece on applications of renormalization methods to the calculation of critical exponents in statistical mechanics, following Wilson's ideas (Kenneth Wilson was  [http://nobelprize.org/physics/laureates/1982/wilson-autobio.html ''Nobel laureate 1982'']).
* Zinn-Justin, Jean; ''Phase Transitions & Renormalization Group: from Theory to Numbers'', Poincaré Seminar (Paris, Oct. 12, 2002), published in : Duplantier, Bertrand; Rivasseau, Vincent (Eds.); ''Poincaré Seminar 2002'', Progress in Mathematical Physics 30, Birkhäuser (2003) {{ISBN|3-7643-0579-7}}. Full text available in [http://parthe.lpthe.jussieu.fr/poincare/textes/octobre2002/Zinn.ps ''PostScript''] {{Webarchive|url=https://web.archive.org/web/20051015150706/http://parthe.lpthe.jussieu.fr/poincare/textes/octobre2002/Zinn.ps |date=October 15, 2005 }}.
* Domb, Cyril; ''The Critical Point: A Historical Introduction to the Modern Theory of Critical Phenomena'', CRC Press (March, 1996) {{ISBN|0-7484-0435-X}}.
* Brown, Laurie M. (Ed.); ''Renormalization: From Lorentz to Landau (and Beyond)'', Springer-Verlag (New York-1993) {{ISBN|0-387-97933-6}}.
* [[John Cardy|Cardy, John]]; ''Scaling and Renormalization in Statistical Physics'', Cambridge University Press (1996) {{ISBN|0-521-49959-3}}.

=== Miscellaneous ===
* [[Dmitry Shirkov|Shirkov, Dmitry]]; ''The Bogoliubov Renormalization Group'', JINR Communication E2-96-15 (1996). Full text available at: [https://arxiv.org/abs/hep-th/9602024 ''hep-th/9602024'']
* 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 15–26, 1998, Les Houches, France, Kluwer Academic Publishers, NATO ASI Series C 530, 375–388 (1999). Full text available in [http://www-spht.cea.fr/articles/t98/118/ ''PostScript''].
* Connes, Alain; ''Symétries Galoisiennes & Renormalisation'', Poincaré Seminar (Paris, Oct. 12, 2002), published in : Duplantier, Bertrand; Rivasseau, Vincent (Eds.); ''Poincaré Seminar 2002'', Progress in Mathematical Physics 30, Birkhäuser (2003) {{ISBN|3-7643-0579-7}}. French mathematician [http://www.alainconnes.org ''Alain Connes''] (Fields medallist 1982) describe the mathematical underlying structure (the [[Hopf algebra]]) of renormalization, and its link to the Riemann-Hilbert problem. Full text (in French) available at {{ArXiv|math/0211199}}.