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此词条暂由彩云小译翻译,翻译字数共5265,未经人工整理和审校,带来阅读不便,请见谅。
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|keywords=埃尔德什,菲尔兹奖章
{{Use American English|date=January 2019}}
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|description=埃尔德什数根据数学论文的著作权来来对数学家保罗·埃尔德什与其他作者之间的“协作距离”进行描述。同样的原则也应用于很多当特定某个人与众多同行之间保持合作关系的其他领域。
 
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{{Short description|Process of assuring meaningful mathematical results in quantum field theory and related disciplines}}
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{{Renormalization and regularization}}
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{{Quantum field theory|cTopic=Tools}}
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'''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>
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* [[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''].
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Category:Renormalization group
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类别: 重整化群
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* E. Elizalde; ''Zeta regularization techniques with Applications''.
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Category:Mathematical physics
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类别: 数学物理
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<noinclude>
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<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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