"Electroweak theory"의 두 판 사이의 차이

수학노트
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(사용자 2명의 중간 판 14개는 보이지 않습니다)
1번째 줄: 1번째 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%;">introduction</h5>
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==introduction==
  
*  Glashow-Weinberg-Salam model<br>
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*  Glashow-Weinberg-Salam model
*  doublets of leptons and quarks => SU(2) symmetry<br>
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*  doublets of leptons and quarks => SU(2) symmetry
  
*  W-boson mass causes some trouble<br>
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*  W-boson mass causes some trouble
*  Goldston boson<br>
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*  Goldston boson
*  Higgs mechanism<br>
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[[Higgs mechanism]]
  
 
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<h5 style="margin: 0px; line-height: 2em;">recipe</h5>
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==recipe==
  
*  start with the local gauge symmetric SU(2) Lagrangian with massless gauge fields<br>
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*  start with the local gauge symmetric SU(2) Lagrangian with massless gauge fields
*  introduce the Higgs field<br>
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*  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<br>
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*  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
  
 
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<h5 style="margin: 0px; line-height: 2em;">adjoining U(1) symmetry</h5>
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==adjoining U(1) symmetry==
  
 
<math>\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} </math>
 
<math>\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} </math>
  
 
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<h5 style="margin: 0px; line-height: 2em;">weak interactions</h5>
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==weak interactions==
  
massive gauge bosons <br>
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massive gauge bosons
**  W and Z bosons<br>
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**  W and Z bosons
  
 
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<h5 style="margin: 0px; line-height: 2em;">consequences</h5>
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==consequences==
  
*  neutral currents<br>
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*  neutral currents
*  new mesons<br>
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*  new mesons
*  parity violating effects<br>
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*  parity violating effects
*  W and Z bosons<br>
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*  W and Z bosons
  
 
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<h5 style="margin: 0px; line-height: 2em;">W-boson</h5>
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==W-boson==
  
*  massive charged spin 1 boson<br>
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*  massive charged spin 1 boson
  
 
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<h5 style="margin: 0px; line-height: 2em;">Z-boson</h5>
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==Z-boson==
  
*  massive neutral spin 1 boson<br>
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*  massive neutral spin 1 boson
  
 
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<h5 style="margin: 0px; line-height: 2em;">weak force</h5>
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==weak force==
  
neutron beta decay<br>
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neutron beta decay
*  muon decay<br>
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*  muon decay
*  high-energy neutrino collisions with matter<br>
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*  high-energy neutrino collisions with matter
  
 
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<h5 style="margin: 0px; line-height: 2em;">three classes of weak interactions</h5>
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==three classes of weak interactions==
  
*  leptonic reactions<br>
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*  leptonic reactions
*  semi-leptonic reactions<br>
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*  semi-leptonic reactions
*  hadronic weak reactions<br>
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*  hadronic weak reactions
  
 
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<h5 style="margin: 0px; line-height: 2em;">Higgs mechanism</h5>
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==Higgs mechanism==
  
*  Higges field<br>
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*  Higges field
**  pervasive universal background field that modifies the simple electroweak gauge theory as the gravitational field caused by mass<br>
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**  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^{+}<br>
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*  two initial charged massless weak field W, W^{+}
**  mix with Higgs fields H^{+}, H^{-}<br>
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**  mix with Higgs fields H^{+}, H^{-}
**  W fields get mass<br>
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**  W fields get mass
*  two electrically neutral massless fields W^0, G^0<br>
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*  two electrically neutral massless fields W^0, G^0
**  mix with neutral Higgs field H^0<br>
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**  mix with neutral Higgs field H^0
**  Z-field massive neutral weak field<br>
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**  Z-field massive neutral weak field
*  resulting bosons<br>
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*  resulting bosons
**  W - massive charged spin 1<br>
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**  W - massive charged spin 1
**  Z- massive neutral spin 1 boson<br>
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**  Z- massive neutral spin 1 boson
**  photon - massless spin 1<br>
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**  photon - massless spin 1
**  Higgs - massive neutral scalar spin 0<br>
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**  Higgs - massive neutral scalar spin 0
  
 
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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%;">related items</h5>
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==related items==
  
 
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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%;">books</h5>
 
  
* [[2009년 books and articles|찾아볼 수학책]]
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==encyclopedia==
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
 
 
 
 
 
 
 
 
 
 
<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%;">encyclopedia</h5>
 
  
 
* http://en.wikipedia.org/wiki/Electroweak_interaction
 
* http://en.wikipedia.org/wiki/Electroweak_interaction
133번째 줄: 121번째 줄:
 
* 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
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
 
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
  
 
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==expositions==
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* Kibble, T. W. B. ‘History of Electroweak Symmetry Breaking’. arXiv:1502.06276 [hep-Ex, Physics:hep-Ph, Physics:hep-Th, Physics:physics], 22 February 2015. http://arxiv.org/abs/1502.06276.
  
 
 
  
<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%;">articles</h5>
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==articles==
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* Hitoshi Murayama [http://arxiv.org/abs/hep-ex/9606001 Why do we want a linear collider], 1996
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[[분류:physics]]
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[[분류:math and physics]]
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[[분류:migrate]]
  
* [http://arxiv.org/abs/hep-ex/9606001 Why do we want a linear collider]<br>
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==메타데이터==
** Hitoshi Murayama, 1996
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q466416 Q466416]
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===Spacy 패턴 목록===
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* [{'LOWER': 'electroweak'}, {'LEMMA': 'interaction'}]
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* [{'LOWER': 'electroweak'}, {'LEMMA': 'force'}]

2021년 2월 17일 (수) 02:35 기준 최신판

introduction

  • Glashow-Weinberg-Salam model
  • doublets of leptons and quarks => SU(2) symmetry



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



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
  • two initial charged massless weak field W, W^{+}
    • mix with Higgs fields H^{+}, H^{-}
    • W fields get mass
  • two electrically neutral massless fields W^0, G^0
    • mix with neutral Higgs field H^0
    • Z-field massive neutral weak field
  • resulting bosons
    • W - massive charged spin 1
    • Z- massive neutral spin 1 boson
    • photon - massless spin 1
    • Higgs - massive neutral scalar spin 0



related items

encyclopedia


expositions

  • Kibble, T. W. B. ‘History of Electroweak Symmetry Breaking’. arXiv:1502.06276 [hep-Ex, Physics:hep-Ph, Physics:hep-Th, Physics:physics], 22 February 2015. http://arxiv.org/abs/1502.06276.


articles

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'electroweak'}, {'LEMMA': 'interaction'}]
  • [{'LOWER': 'electroweak'}, {'LEMMA': 'force'}]