"Renormalization"의 두 판 사이의 차이
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renormalization==
regularization==
electroweak renormalization==
books==
imported>Pythagoras0 잔글 (찾아 바꾸기 – “</h5>” 문자열을 “==” 문자열로) |
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| − | <h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">renormalization | + | <h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">renormalization== |
* way of pulling out sensible answers from Feynman diagrams that explode | * way of pulling out sensible answers from Feynman diagrams that explode | ||
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| − | <h5 style="margin: 0px; line-height: 2em;">regularization | + | <h5 style="margin: 0px; line-height: 2em;">regularization== |
* the values of observable quantities cannot depend on the way we've chosen to take the cutoff (regularize) | * the values of observable quantities cannot depend on the way we've chosen to take the cutoff (regularize) | ||
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| − | <h5 style="margin: 0px; line-height: 2em;">QED renormalization | + | <h5 style="margin: 0px; line-height: 2em;">QED renormalization== |
* [[QED renormalization]]<br> | * [[QED renormalization]]<br> | ||
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| − | <h5 style="margin: 0px; line-height: 2em;">electroweak renormalization | + | <h5 style="margin: 0px; line-height: 2em;">electroweak renormalization== |
* spontaneous local [[spontaneous symmetry breaking|symmetry breaking]] or Higgs mechanism<br> | * spontaneous local [[spontaneous symmetry breaking|symmetry breaking]] or Higgs mechanism<br> | ||
| 54번째 줄: | 54번째 줄: | ||
| − | <h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">books | + | <h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">books== |
* Renormalization: an introduction to renormalization, the renormalization John C. Collins | * Renormalization: an introduction to renormalization, the renormalization John C. Collins | ||
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| − | <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%;">articles | + | <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%;">articles== |
* [http://arxiv.org/abs/1008.0129 Renormalization and quantum field theory] R. E. Borcherds, 2010<br> | * [http://arxiv.org/abs/1008.0129 Renormalization and quantum field theory] R. E. Borcherds, 2010<br> | ||
2012년 10월 28일 (일) 15:39 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
- 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 - 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
- http://en.wikipedia.org/wiki/Effective_field_theory
- effective ~ restricted to some interval
regularization==
- the values of observable quantities cannot depend on the way we've chosen to take the cutoff (regularize)
- introducing momentum or distance cutoff so as to render finite the large momentum or short distance limits of correlation functions
- methods of regularization
- momentum regularization (modify the propagator by introducing cutoff dependent mass couplings)
- lattice regulatization (replace R^d by a lattice, uses a small space cutoff)
- dimensional 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
- 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
- momentum regularization (modify the propagator by introducing cutoff dependent mass couplings)
- lattice regulatization (replace R^d by a lattice, uses a small space cutoff)
- dimensional regularization
- probability of creating particles of colossal energies
- in terms of Feynman diagrams, the momentum in a loop can run away to infinity
- 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