"Anomalous magnetic moment of electron"의 두 판 사이의 차이

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<h5>introduction</h5>
 
<h5>introduction</h5>
  
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In QFT, amplitude = sum of integrals = <math>\sum_{n\text{ loops}}</math> sum of integrals
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* amplitude = sum of integrals = <math>\sum_{n\text{ loops}}</math> sum of integrals
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* anomalous electron magnetic dipole moment 1.00115965219
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* 11 digits match
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* as n grows, number of Feynman diagrams grows exponentially
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* integrals are becoming difficult
  
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in [[QED]], anomalous electron magnetic dipole moment = 11 digits match
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1.00115965219
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problem as n grows
 
  
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* number of Feynman diagrams grows exponentially
 
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* integrals are becoming difficult
 
 
* correction terms
 
* correction terms
  
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[/pages/3589069/attachments/4562673 2004329152457_150.gif]
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 The g factor sets the strength of an electron’s interaction with a magnetic field. In classical physics (left) magnetic lines of force (perpendicular to the page) induce a curvature in the electron’s path. In quantum electrodynamics (right) the electron interacts with the field by emitting or absorbing a photon. The event is represented in a Feynman diagram, where space extends along the horizontal axis and time moves up the vertical axis.
 
  
 
 
 
 
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* In Dirac’s theory a point like spin 1/2 object of electric charge q and mass m has a magnetic moment: <math>\mathbf{\mu}=q\mathbf{S}/m</math>
 
* In Dirac’s theory a point like spin 1/2 object of electric charge q and mass m has a magnetic moment: <math>\mathbf{\mu}=q\mathbf{S}/m</math>
 
* [http://docs.google.com/viewer?a=v&q=cache:5hOX9DCrL7sJ:www.physics.ohio-state.edu/%7Ekass/P780_L3_sp03.ppt+anamalous+magnetic+moment+electron+feynman+diagram&hl=ko&gl=us&pid=bl&srcid=ADGEEShmuOjISGxcCejbd6l7kWuRiTY7AtBHwKpZ_Zec4dSTPlJ8kqZSA80srABAl8PEFKnJJVfrawIHlkI0Z9S5wA1ArJMpmMERZp3I3ppK4BN5drRWx4mJi8VTW_wf8xjrs3v1VOqX&sig=AHIEtbTIAIEubf5ZHYPXPv4aE6ImvmxEVw http://docs.google.com/viewer?a=v&q=cache:5hOX9DCrL7sJ:www.physics.ohio-state.edu/~kass/P780_L3_sp03.ppt+anamalous+magnetic+moment+electron+feynman+diagram&hl=ko&gl=us&pid=bl&srcid=ADGEEShmuOjISGxcCejbd6l7kWuRiTY7AtBHwKpZ_Zec4dSTPlJ8kqZSA80srABAl8PEFKnJJVfrawIHlkI0Z9S5wA1ArJMpmMERZp3I3ppK4BN5drRWx4mJi8VTW_wf8xjrs3v1VOqX&sig=AHIEtbTIAIEubf5ZHYPXPv4aE6ImvmxEVw]
 
* [http://docs.google.com/viewer?a=v&q=cache:5hOX9DCrL7sJ:www.physics.ohio-state.edu/%7Ekass/P780_L3_sp03.ppt+anamalous+magnetic+moment+electron+feynman+diagram&hl=ko&gl=us&pid=bl&srcid=ADGEEShmuOjISGxcCejbd6l7kWuRiTY7AtBHwKpZ_Zec4dSTPlJ8kqZSA80srABAl8PEFKnJJVfrawIHlkI0Z9S5wA1ArJMpmMERZp3I3ppK4BN5drRWx4mJi8VTW_wf8xjrs3v1VOqX&sig=AHIEtbTIAIEubf5ZHYPXPv4aE6ImvmxEVw http://docs.google.com/viewer?a=v&q=cache:5hOX9DCrL7sJ:www.physics.ohio-state.edu/~kass/P780_L3_sp03.ppt+anamalous+magnetic+moment+electron+feynman+diagram&hl=ko&gl=us&pid=bl&srcid=ADGEEShmuOjISGxcCejbd6l7kWuRiTY7AtBHwKpZ_Zec4dSTPlJ8kqZSA80srABAl8PEFKnJJVfrawIHlkI0Z9S5wA1ArJMpmMERZp3I3ppK4BN5drRWx4mJi8VTW_wf8xjrs3v1VOqX&sig=AHIEtbTIAIEubf5ZHYPXPv4aE6ImvmxEVw]
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* [http://universe-review.ca/R15-12-QFT.htm ]http://universe-review.ca/R15-12-QFT.htm<br>
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<h5> </h5>
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<h5>four-loop diagrams</h5>
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*  891 diagrams
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* [http://www.centrofermi.it/docs/primaconferenza/laporta_conferenzafermi.pdf Numerical calculation of electron g-2 at 4 loops in QED] S. Laporta<br>
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<h5>five-loop Feynman diagrams</h5>
  
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* four-loop Feynman diagrams 891<br>
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* There are 12,672
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** [http://www.centrofermi.it/docs/primaconferenza/laporta_conferenzafermi.pdf Numerical calculation of electron g-2 at 4 loops in QED] S. Laporta<br>
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* [http://www.strings.ph.qmul.ac.uk/%7Ebigdraw/feynman/slide3.html http://www.strings.ph.qmul.ac.uk/~bigdraw/feynman/slide3.html][http://eskesthai.blogspot.com/2010/12/muon.html ]
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* five-loop Feynman diagrams. There are 12,672
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* number of Feynman diagrams http://oeis.org/A005413
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*  
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* <br>[http://www.americanscientist.org/issues/num2/g-ology/1 ]
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* [http://www.strings.ph.qmul.ac.uk/%7Ebigdraw/feynman/slide3.html http://www.strings.ph.qmul.ac.uk/~bigdraw/feynman/slide3.html]
 
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* [http://eskesthai.blogspot.com/2010/12/muon.html ]<br>
 
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* http://universe-review.ca/R15-12-QFT.htm<br>
 
  
 
 
 
 
92번째 줄: 100번째 줄:
 
<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
 
<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
  
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* number of Feynman diagrams http://oeis.org/A005413
 
* http://en.wikipedia.org/wiki/Anomalous_magnetic_dipole_moment
 
* http://en.wikipedia.org/wiki/Anomalous_magnetic_dipole_moment
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/

2011년 1월 17일 (월) 10:58 판

introduction
  • amplitude = sum of integrals = \(\sum_{n\text{ loops}}\) sum of integrals
  • anomalous electron magnetic dipole moment 1.00115965219
  • 11 digits match
  • as n grows, number of Feynman diagrams grows exponentially
  • integrals are becoming difficult

 

 

  • correction terms

 

 

anamalous electron magnetic dipole moment

 

 

 

two-loop diagrams
  • 7 two-loop diagrams
    [/pages/3589069/attachments/4562669 2004329153354_150.gif]

 

 

three-loop diagrams
  • 72 three-loop diagrams
  • [/pages/3589069/attachments/4562671 200432915395_150.gif]
  • Toichiro Kinoshita

 

four-loop diagrams
  •  891 diagrams

 

 

five-loop Feynman diagrams

 

 

 

anaomalous muon magnetic dipole moment

 

 

memo

 

 

history

 

 

related items

 

 

encyclopedia

 

 

books

 

 

 

expositions

 

 

articles

 

 

 

question and answers(Math Overflow)

 

 

blogs

 

 

experts on the field

 

 

links
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