"Yang-Mills Theory(Non-Abelian gauge theory)"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
Pythagoras0 (토론 | 기여) (→메타데이터: 새 문단) |
Pythagoras0 (토론 | 기여) |
||
115번째 줄: | 115번째 줄: | ||
[[분류:migrate]] | [[분류:migrate]] | ||
− | == 메타데이터 == | + | ==메타데이터== |
− | |||
===위키데이터=== | ===위키데이터=== | ||
* ID : [https://www.wikidata.org/wiki/Q1192873 Q1192873] | * ID : [https://www.wikidata.org/wiki/Q1192873 Q1192873] | ||
+ | ===Spacy 패턴 목록=== | ||
+ | * [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}] | ||
+ | * [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}] | ||
+ | * [{'LOWER': 'non'}, {'LOWER': '-'}, {'LOWER': 'abelian'}, {'LOWER': 'gauge'}, {'LEMMA': 'theory'}] |
2021년 2월 17일 (수) 03:09 기준 최신판
introduction
- This is not a quantum theory.
- This can be regarded as a generalization of theory of electromagetisms., i.e. bundle + connections
- looks like the coordinate invariance of gravity theory
- Gauge theory
- Usually, non-abelian gauge theory is called the YM theory.
- QCD is one example.
basic concepts
- connection
- curvature
original Yang-Mills model
- three kinds of photon
- one ordinary photon
- two electrically charged photons with spin 1 which is physically impossible to exist
- massless gauge fields
- for example, electromagnetic field(the only example at that time)
weak force
recipe
- prepare Dirac fields
- start with the free Dirac Lagrangian
- we demand the Lagrangian to be invariant under the SU(N) local gauge transformations
- structure constants are needed
- self-interaction of gauge fields starts to appear
Yang-Mills potential
- dual role
- a field in space-time
- operator in the isotopic-spin space
quantization of Yang-Mills theory
- We want to quantize this theory.
- standard model is a quantized version of a Yang-Mills theory of classical fields
- mass gap in Yang-Mills theory
books
- Baez and Muniain (“Knots, Gauge Fields and Gravity”, World Scientific 1994
- M. Nakahara “Geometry, Topology and Physics”.
- Fifty years of Yang-Mills theory http://books.google.com/books?id=WV57GpYjYREC&pg=PA102&lpg=PA102&dq=weakly+interacting+boson+yang-mills&source=bl&ots=ztMiD8nOgz&sig=nhFiCtCQw2lAodU1zacqg3wueUQ&hl=ko&ei=W1jZTtuZCIqRiALR3c26BA&sa=X&oi=book_result&ct=result&resnum=10&ved=0CHEQ6AEwCQ#v=onepage&q&f=false
expository
- Rivière, Tristan. “The Variations of Yang-Mills Lagrangian.” arXiv:1506.04554 [math], June 15, 2015. http://arxiv.org/abs/1506.04554.
- Slavnov, A. A. ‘New Approach to the Quantization of the Yang-Mills Field’. arXiv:1503.03380 [hep-Ph, Physics:hep-Th], 11 March 2015. http://arxiv.org/abs/1503.03380.
- Gauge Theory in Two Dimensions: Topological, Geometric and Probabilistic Aspects Ambar N. Sengupta
- Introduction to Yang-Mills theories
- http://michaelnielsen.org/blog/yang_mills.pdf
- History of Yang-Mills theory and wishful thinking The Reference Frame
- Electromagnetic duality for children
- What Is Geometry? Shiing-Shen Chern, The American Mathematical Monthly, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686
- Introduction to gauge theories and the Standard Model CERN video lectures
articles
- Huang, Teng. “Yang-Mills Connections on \(G_{2}\)-Manifolds and Calabi-Yau 3-Folds.” arXiv:1502.02090 [math-Ph], February 6, 2015. http://arxiv.org/abs/1502.02090.
- Yang-Mills Theory and Geometry, Donaldson
- C. N. Yang and R. L. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev. 96, 191 - 195 (1954)
encyclopedia
- http://en.wikipedia.org/wiki/Yang-Mills_theory
- http://en.wikipedia.org/wiki/Gauge_theory
- http://www.physics.thetangentbundle.net/wiki/Quantum_field_theory/Yang-Mills_theory
메타데이터
위키데이터
- ID : Q1192873
Spacy 패턴 목록
- [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}]
- [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}]
- [{'LOWER': 'non'}, {'LOWER': '-'}, {'LOWER': 'abelian'}, {'LOWER': 'gauge'}, {'LEMMA': 'theory'}]