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{{Short description|Process of assuring meaningful mathematical results in quantum field theory and related disciplines}}

 

 

 

'''Renormalization''' is a collection of techniques in [[quantum field theory]], the [[statistical mechanics]] of fields, and the theory of [[self-similarity|self-similar]] geometric structures, that are used to treat [[infinity|infinities]] arising in calculated quantities by altering values of these quantities to compensate for effects of their '''self-interactions'''<!--boldface per WP:R#PLA; 'Self-interaction' and 'Self-interactions' redirect here-->. But even if no infinities arose in [[One-loop Feynman diagram|loop diagrams]] in quantum field theory, it could be shown that it would be necessary to renormalize the mass and fields appearing in the original [[Lagrangian (field theory)|Lagrangian]].<ref>See e.g., Weinberg vol I, chapter 10.</ref>

'''Renormalization''' is a collection of techniques in [[quantum field theory]], the [[statistical mechanics]] of fields, and the theory of [[self-similarity|self-similar]] geometric structures, that are used to treat [[infinity|infinities]] arising in calculated quantities by altering values of these quantities to compensate for effects of their '''self-interactions'''<!--boldface per WP:R#PLA; 'Self-interaction' and 'Self-interactions' redirect here-->. But even if no infinities arose in [[One-loop Feynman diagram|loop diagrams]] in quantum field theory, it could be shown that it would be necessary to renormalize the mass and fields appearing in the original [[Lagrangian (field theory)|Lagrangian]].<ref>See e.g., Weinberg vol I, chapter 10.</ref>

* [[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''].

* [[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''].

<small>This page was moved from [[wikipedia:en:Renormalization]]. Its edit history can be viewed at [[重整化/edithistory]]</small></noinclude>

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