"Ramond–Neveu–Schwarz model"의 두 판 사이의 차이
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imported>Pythagoras0 (새 문서: ==introduction== ==background== * These efforts extended from the independent attempts of Lovelace and Shapiro to obtain the amplitude for the scattering of four pions to the constr...) |
Pythagoras0 (토론 | 기여) |
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| (사용자 2명의 중간 판 14개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | + | * In January 1971 Pierre Ramond constructed A dual model with fermions | |
| + | * Neveu and Schwarz proposed a new bosonic dual model, which we called the ‘dual pion model’, in March 1971 | ||
| + | * The two models are recognized as the two sectors of the Ramond–Neveu–Schwarz model | ||
| + | * In the Ramond–Neveu–Schwarz (RNS) model one introduces, besides the bosonic oscillators <math>\alpha_n</math>, the fermionic oscillators <math>\psi_r^{\mu}</math>, where <math>r</math> is integer and half-integer in the Ramond (R) and Neveu–Schwarz (NS) sectors, respectively. | ||
| + | * This theory had a rich spectrum of states, including both bosons and fermions, and required <math>d = 10</math> spacetime dimensions. | ||
==background== | ==background== | ||
| − | * | + | * Lovelace and Shapiro : the scattering amplitude of four pions to the construction of dual models |
| − | * | + | * Neveu and Schwarz : extending the Lovelace–Shapiro amplitude to an arbitrary number of pions, that is, for the scattering of particles with internal symmetry and with spin. |
* The Ramond and Neveu–Schwarz models were soon recognized as the two sectors, fermionic and bosonic, of the same model, called the Ramond–Neveu–Schwarz (RNS) model. | * The Ramond and Neveu–Schwarz models were soon recognized as the two sectors, fermionic and bosonic, of the same model, called the Ramond–Neveu–Schwarz (RNS) model. | ||
* The spectrum contains both fermions and bosons, and is much richer than that of the dual resonance model. Unfortunately, it still contains a tachyon. | * The spectrum contains both fermions and bosons, and is much richer than that of the dual resonance model. Unfortunately, it still contains a tachyon. | ||
| − | |||
==supersymmetry== | ==supersymmetry== | ||
| 13번째 줄: | 16번째 줄: | ||
* There is an equal number of bosons and fermions at every mass level. This was compelling evidence (though not a proof) for ‘ten-dimensional spacetime supersymmetry’ of the GSO-projected theory. | * There is an equal number of bosons and fermions at every mass level. This was compelling evidence (though not a proof) for ‘ten-dimensional spacetime supersymmetry’ of the GSO-projected theory. | ||
* The realization that it could have spacetime supersymmetry was a major advance. | * The realization that it could have spacetime supersymmetry was a major advance. | ||
| + | * Wess and Zumino extend the world-sheet supersymmetry of the Ramond–Neveu–Schwarz model to four-dimensional field theory | ||
| + | |||
| + | |||
| + | ==related items== | ||
| + | * [[GSO projection]] | ||
| + | * [[Dual quark model]] | ||
| + | |||
| + | [[분류:string theory]] | ||
| + | [[분류:migrate]] | ||
| + | |||
| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q7277278 Q7277278] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'rns'}, {'LEMMA': 'formalism'}] | ||
| + | * [{'LOWER': 'ramond'}, {'OP': '*'}, {'LOWER': 'neveu'}, {'OP': '*'}, {'LOWER': 'schwarz'}, {'LEMMA': 'formalism'}] | ||
2021년 2월 17일 (수) 02:33 기준 최신판
introduction
- In January 1971 Pierre Ramond constructed A dual model with fermions
- Neveu and Schwarz proposed a new bosonic dual model, which we called the ‘dual pion model’, in March 1971
- The two models are recognized as the two sectors of the Ramond–Neveu–Schwarz model
- In the Ramond–Neveu–Schwarz (RNS) model one introduces, besides the bosonic oscillators \(\alpha_n\), the fermionic oscillators \(\psi_r^{\mu}\), where \(r\) is integer and half-integer in the Ramond (R) and Neveu–Schwarz (NS) sectors, respectively.
- This theory had a rich spectrum of states, including both bosons and fermions, and required \(d = 10\) spacetime dimensions.
background
- Lovelace and Shapiro : the scattering amplitude of four pions to the construction of dual models
- Neveu and Schwarz : extending the Lovelace–Shapiro amplitude to an arbitrary number of pions, that is, for the scattering of particles with internal symmetry and with spin.
- The Ramond and Neveu–Schwarz models were soon recognized as the two sectors, fermionic and bosonic, of the same model, called the Ramond–Neveu–Schwarz (RNS) model.
- The spectrum contains both fermions and bosons, and is much richer than that of the dual resonance model. Unfortunately, it still contains a tachyon.
supersymmetry
- It was soon recognized, first by Gervais and Sakita, that the RNS model had a new kind of symmetry relating bosons and fermions. This was the first occurrence of supersymmetry.
- There is an equal number of bosons and fermions at every mass level. This was compelling evidence (though not a proof) for ‘ten-dimensional spacetime supersymmetry’ of the GSO-projected theory.
- The realization that it could have spacetime supersymmetry was a major advance.
- Wess and Zumino extend the world-sheet supersymmetry of the Ramond–Neveu–Schwarz model to four-dimensional field theory
메타데이터
위키데이터
- ID : Q7277278
Spacy 패턴 목록
- [{'LOWER': 'rns'}, {'LEMMA': 'formalism'}]
- [{'LOWER': 'ramond'}, {'OP': '*'}, {'LOWER': 'neveu'}, {'OP': '*'}, {'LOWER': 'schwarz'}, {'LEMMA': 'formalism'}]