"Electroweak theory"의 두 판 사이의 차이

수학노트
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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%;">introduction</h5>
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==introduction==
  
*  Glashow-Weinberg-Salam model<br>
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*  Glashow-Weinberg-Salam model
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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;">consequences</h5>
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==recipe==
  
neutral currents<br>
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start with the local gauge symmetric SU(2) Lagrangian with massless gauge fields
new mesons<br>
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introduce the Higgs field
parity violating effects<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
*  W and Z bosons<br>
 
  
 
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<h5 style="margin: 0px; line-height: 2em;">weak force</h5>
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==adjoining U(1) symmetry==
  
*  neutron beta decay<br>
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<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>
*  muon decay<br>
 
*  high-energy neutrino collisions with matter<br>
 
  
 
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<h5 style="margin: 0px; line-height: 2em;">three classes of weak interactions</h5>
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*  leptonic reactions<br>
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==weak interactions==
*  semi-leptonic reactions<br>
 
*  hadronic weak reactions<br>
 
  
 
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*  massive gauge bosons
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**  W and Z bosons
  
 
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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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==consequences==
  
 
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*  neutral currents
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*  new mesons
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*  parity violating effects
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*  W and Z bosons
  
<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>
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* [[2009년 books and articles|찾아볼 수학책]]
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* 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=
 
  
 
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==W-boson==
  
 
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*  massive charged spin 1 boson
  
<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>
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 <br>
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* http://ko.wikipedia.org/wiki/
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* http://en.wikipedia.org/wiki/weak_force
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==Z-boson==
* http://en.wikipedia.org/wiki/Electroweak_interaction
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* http://en.wikipedia.org/wiki/
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massive neutral spin 1 boson
* http://en.wikipedia.org/wiki/
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
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==weak force==
 +
 
 +
* neutron beta decay
 +
* muon decay
 +
* high-energy neutrino collisions with matter
 +
 
 +
 +
 
 +
 +
 
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==three classes of weak interactions==
 +
 
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*  leptonic reactions
 +
*  semi-leptonic reactions
 +
*  hadronic weak reactions
 +
 
 +
 +
 
 +
 +
 
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==Higgs mechanism==
 +
 
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* Higges field
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**  pervasive universal background field that modifies the simple electroweak gauge theory as the gravitational field caused by mass
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* two initial charged massless weak field W, W^{+}
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**  mix with Higgs fields H^{+}, H^{-}
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**  W fields get mass
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*  two electrically neutral massless fields W^0, G^0
 +
**  mix with neutral Higgs field H^0
 +
**  Z-field massive neutral weak field
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*  resulting bosons
 +
**  W - massive charged spin 1
 +
**  Z- massive neutral spin 1 boson
 +
**  photon - massless spin 1
 +
**  Higgs - massive neutral scalar spin 0
 +
 
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 +
 
 +
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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%;">blogs</h5>
 
  
*  구글 블로그 검색<br>
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==encyclopedia==
** http://blogsearch.google.com/blogsearch?q=
 
** http://blogsearch.google.com/blogsearch?q=
 
** http://blogsearch.google.com/blogsearch?q=
 
  
 
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* http://en.wikipedia.org/wiki/Electroweak_interaction
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* http://en.wikipedia.org/wiki/Quantum_electrodynamics
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* http://en.wikipedia.org/wiki/Beta_decay
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* http://en.wikipedia.org/wiki/weak_force
  
<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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* [[2010년 books and articles|논문정리]]
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==expositions==
* http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=
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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.
* http://www.zentralblatt-math.org/zmath/en/
 
* http://pythagoras0.springnote.com/
 
* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
 
  
* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
  
 
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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]]
  
<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%;">TeX </h5>
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==메타데이터==
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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'}]