"Zamolodchikov's c-theorem"의 두 판 사이의 차이

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imported>Pythagoras0
(새 문서: ==encyclopedia== * http://en.wikipedia.org/wiki/C-theorem)
 
 
(사용자 2명의 중간 판 6개는 보이지 않습니다)
1번째 줄: 1번째 줄:
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==correlation functions==
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* <math>\langle T(z,\bar{z})T(0,0) \rangle =\frac{F(|z|^2)}{z^4}</math>
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* <math>\langle \Theta(z,\bar{z})\Theta(0,0) \rangle =\frac{H(|z|^2)}{z^4}</math>
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* <math>\langle T(z,\bar{z})\Theta(0,0) \rangle =\langle \Theta(z,\bar{z})T(0,0) \rangle \frac{G(|z|^2)}{z^3\bar{z}}</math>
  
  
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==C-function==
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* <math>C=2F-G-\frac{3}{8}H</math>
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===UV-limit===
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:<math>
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c=-\int_{0}^{\infty}dr \frac{2\dot{C}}{r}=\int_{0}^{\infty}dr \frac{3\dot{H}}{2r}=\frac{3}{2}\int_{0}^{\infty}dr r^3\langle \Theta(z,\bar{z})\Theta(0,0) \rangle
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</math>
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==expositions==
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* http://physics.stackexchange.com/questions/143518/zamolodchikovs-c-theorem-paper
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==articles==
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* Becker, Daniel, and Martin Reuter. “Towards a <math>C</math>-Function in 4D Quantum Gravity.” arXiv:1412.0468 [hep-Th], December 1, 2014. http://arxiv.org/abs/1412.0468.
  
  
 
==encyclopedia==
 
==encyclopedia==
 
* http://en.wikipedia.org/wiki/C-theorem
 
* http://en.wikipedia.org/wiki/C-theorem
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[[분류:migrate]]
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q5005965 Q5005965]
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===Spacy 패턴 목록===
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* [{'LOWER': 'c'}, {'OP': '*'}, {'LEMMA': 'theorem'}]

2021년 2월 17일 (수) 01:17 기준 최신판

correlation functions

  • \(\langle T(z,\bar{z})T(0,0) \rangle =\frac{F(|z|^2)}{z^4}\)
  • \(\langle \Theta(z,\bar{z})\Theta(0,0) \rangle =\frac{H(|z|^2)}{z^4}\)
  • \(\langle T(z,\bar{z})\Theta(0,0) \rangle =\langle \Theta(z,\bar{z})T(0,0) \rangle \frac{G(|z|^2)}{z^3\bar{z}}\)


C-function

  • \(C=2F-G-\frac{3}{8}H\)

UV-limit

\[ c=-\int_{0}^{\infty}dr \frac{2\dot{C}}{r}=\int_{0}^{\infty}dr \frac{3\dot{H}}{2r}=\frac{3}{2}\int_{0}^{\infty}dr r^3\langle \Theta(z,\bar{z})\Theta(0,0) \rangle \]


expositions


articles

  • Becker, Daniel, and Martin Reuter. “Towards a \(C\)-Function in 4D Quantum Gravity.” arXiv:1412.0468 [hep-Th], December 1, 2014. http://arxiv.org/abs/1412.0468.


encyclopedia

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'c'}, {'OP': '*'}, {'LEMMA': 'theorem'}]