Anomalous magnetic moment of electron
introduction
In QFT, amplitude = sum of integrals = \(\sum_{n\text{ loops}}\) sum of integrals
in QED, anomalous electron magnetic dipole moment = 11 digits match
1.00115965219
problem as n grows
- number of Feynman diagrams grows exponentially
- integrals are becoming difficult
- correction terms
[/pages/3589069/attachments/4562673 2004329152457_150.gif]
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.
two-loop diagrams
- 7 two-loop diagrams
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three-loop diagrams
- 72 three-loop diagrams
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- Toichiro Kinoshita
- four-loop Feynman diagrams 891
- five-loop Feynman diagrams. There are 12,672
- number of Feynman diagrams http://oeis.org/A005413
- 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
[1]- http://www.strings.ph.qmul.ac.uk/~bigdraw/feynman/slide3.html
- [2]
- http://universe-review.ca/R15-12-QFT.htm
anaomalous muon magnetic dipole moment
- anaomalous muon magnetic dipole moment is still unknown
- http://eskesthai.blogspot.com/2010/12/muon.html
history
encyclopedia
- http://en.wikipedia.org/wiki/Anomalous_magnetic_dipole_moment
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
- Brian Hayes, “g-OLOGY,” American Scientist 92, no. 3 (2004): 212. http://www.americanscientist.org/issues/num2/g-ology/1
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field