"Renormalization"의 두 판 사이의 차이
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** regularization - the divergences must be written down in some way so that they can be compared, added and subtracted<br> | ** regularization - the divergences must be written down in some way so that they can be compared, added and subtracted<br> | ||
** renormalization proper - the various divergences must be gathered together and extracted from the rest of the calculation<br> | ** renormalization proper - the various divergences must be gathered together and extracted from the rest of the calculation<br> | ||
− | * set of techniques used to understand a given quantum field theory in a certain | + | * set of techniques used to understand a given quantum field theory in a certain energy or length interval<br> |
+ | ** http://en.wikipedia.org/wiki/Effective_field_theory | ||
+ | ** effective ~ restricted to some interval | ||
+ | * easiest to grasp using functional integrals ( | ||
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* Renormalization: an introduction to renormalization, the renormalization John C. Collins | * Renormalization: an introduction to renormalization, the renormalization John C. Collins | ||
* [[2009년 books and articles|찾아볼 수학책]] | * [[2009년 books and articles|찾아볼 수학책]] | ||
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− | * [http://arxiv.org/abs/1008.0129 Renormalization and quantum field theory] | + | * [http://arxiv.org/abs/1008.0129 Renormalization and quantum field theory] R. E. Borcherds, 2010<br> |
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* http://www.ams.org/mathscinet | * http://www.ams.org/mathscinet | ||
* http://www.zentralblatt-math.org/zmath/en/ | * http://www.zentralblatt-math.org/zmath/en/ |
2011년 12월 3일 (토) 09:18 판
renormalization
- way of pulling out sensible answers from Feynman diagrams that explode
- there are two parts in the renormalization program
- regularization - the divergences must be written down in some way so that they can be compared, added and subtracted
- renormalization proper - the various divergences must be gathered together and extracted from the rest of the calculation
- regularization - the divergences must be written down in some way so that they can be compared, added and subtracted
- set of techniques used to understand a given quantum field theory in a certain energy or length interval
- http://en.wikipedia.org/wiki/Effective_field_theory
- effective ~ restricted to some interval
- easiest to grasp using functional integrals (
regularization
- root of the problem
- probability of creating particles of colossal energies
- in terms of Feynman diagrams, the momentum in a loop can run away to infinity
- probability of creating particles of colossal energies
- dimensional regularization
- regularization scheme (especially good in QCD)
- regard the dimension as a continuous quantity
- coupling constant changes accordingly as the dimension changes continuously
- we get a new parameter called regularization scheme
- regularization scheme (especially good in QCD)
QED renormalization
electroweak renormalization
- spontaneous local symmetry breaking or Higgs mechanism
- mass term for gauge field is zero in the Lagranaian, but these bosons (W,Z bosons) have mass term. To resolve this, we employ Higgs mechanism
books
- Renormalization: an introduction to renormalization, the renormalization John C. Collins
- 찾아볼 수학책