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imported>Pythagoras0 잔글 (찾아 바꾸기 – “* Princeton companion to mathematics(Companion_to_Mathematics.pdf)” 문자열을 “” 문자열로) |
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==encyclopedia== | ==encyclopedia== | ||
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* http://en.wikipedia.org/wiki/Beta_decay | * http://en.wikipedia.org/wiki/Beta_decay | ||
* http://en.wikipedia.org/wiki/weak_force | * http://en.wikipedia.org/wiki/weak_force | ||
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==articles== | ==articles== | ||
− | * [http://arxiv.org/abs/hep-ex/9606001 Why do we want a linear collider] | + | * Hitoshi Murayama [http://arxiv.org/abs/hep-ex/9606001 Why do we want a linear collider], 1996 |
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[[분류:math and physics]] | [[분류:math and physics]] |
2013년 3월 25일 (월) 08:25 판
introduction
- Glashow-Weinberg-Salam model
- doublets of leptons and quarks => SU(2) symmetry
- W-boson mass causes some trouble
- Goldston boson
- Higgs mechanism
recipe
- start with the local gauge symmetric SU(2) Lagrangian with massless gauge fields
- introduce the Higgs field
- break the local gauge symmetry in such a way by a new interaction between the Higgs field and gauge fields so as to generate terms in the Lagrangian that look like mass terms for gauge fields
adjoining U(1) symmetry
\(\begin{pmatrix}\gamma \\Z^0 \end{pmatrix} = \begin{pmatrix}\cos \theta_W & \sin \theta_W \\-\sin \theta_W & \cos \theta_W \end{pmatrix} \begin{pmatrix}B^0 \\W^0 \end{pmatrix} \)
weak interactions
- massive gauge bosons
- W and Z bosons
- W and Z bosons
consequences
- neutral currents
- new mesons
- parity violating effects
- W and Z bosons
W-boson
- massive charged spin 1 boson
Z-boson
- massive neutral spin 1 boson
weak force
- neutron beta decay
- muon decay
- high-energy neutrino collisions with matter
three classes of weak interactions
- leptonic reactions
- semi-leptonic reactions
- hadronic weak reactions
Higgs mechanism
- Higges field
- pervasive universal background field that modifies the simple electroweak gauge theory as the gravitational field caused by mass
- pervasive universal background field that modifies the simple electroweak gauge theory as the gravitational field caused by mass
- two initial charged massless weak field W, W^{+}
- mix with Higgs fields H^{+}, H^{-}
- W fields get mass
- mix with Higgs fields H^{+}, H^{-}
- two electrically neutral massless fields W^0, G^0
- mix with neutral Higgs field H^0
- Z-field massive neutral weak field
- mix with neutral Higgs field H^0
- resulting bosons
- W - massive charged spin 1
- Z- massive neutral spin 1 boson
- photon - massless spin 1
- Higgs - massive neutral scalar spin 0
- W - massive charged spin 1
encyclopedia
- http://en.wikipedia.org/wiki/Electroweak_interaction
- http://en.wikipedia.org/wiki/Quantum_electrodynamics
- http://en.wikipedia.org/wiki/Beta_decay
- http://en.wikipedia.org/wiki/weak_force
articles
- Hitoshi Murayama Why do we want a linear collider, 1996