Coleman–Mandula theorem (original) (raw)

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In theoretical physics, the Coleman–Mandula theorem is a no-go theorem stating that spacetime and internal symmetries can only combine in a trivial way. This means that the charges associated with internal symmetries must always transform as Lorentz scalars. Some notable exceptions to the no-go theorem are conformal symmetry and supersymmetry. It is named after Sidney Coleman and Jeffrey Mandula who proved it in 1967 as the culmination of a series of increasingly generalized no-go theorems investigating how internal symmetries can be combined with spacetime symmetries. The supersymmetric generalization is known as the Haag–Łopuszański–Sohnius theorem.

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dbo:abstract Das 1967 von Sidney Coleman und Jeffrey Mandula gefundene Coleman-Mandula-Theorem ist ein (engl.) der theoretischen Physik, das auf sehr allgemeinen Annahmen beruht (zum Beispiel Existenz und Nichttrivialität der S-Matrix, nichtentartetes Vakuum und keine masselosen Elementarteilchen). Es besagt, dass jede Lie-Algebra, welche die Poincaré-Gruppe und eine interne Symmetriegruppe enthält, ein direktes Produkt dieser beiden Gruppen sein muss. Eine externe (raum-zeitliche) Symmetrie kann also nur trivial mit einer internen Symmetrie kombiniert werden. Die tensoralen Symmetrien sind somit bereits mit den Generatoren der Poincaré-Gruppe maximal. Rudolf Haag, und konnten 1975 jedoch zeigen (Haag-Łopuszański-Sohnius-Theorem), dass die Hinzunahme von antikommutierenden Generatoren die einzig mögliche, nicht-triviale Erweiterung der zu einer sogenannten Superalgebra erlaubt (siehe auch Supersymmetrie). (de) In theoretical physics, the Coleman–Mandula theorem is a no-go theorem stating that spacetime and internal symmetries can only combine in a trivial way. This means that the charges associated with internal symmetries must always transform as Lorentz scalars. Some notable exceptions to the no-go theorem are conformal symmetry and supersymmetry. It is named after Sidney Coleman and Jeffrey Mandula who proved it in 1967 as the culmination of a series of increasingly generalized no-go theorems investigating how internal symmetries can be combined with spacetime symmetries. The supersymmetric generalization is known as the Haag–Łopuszański–Sohnius theorem. (en) El teorema de Coleman–Mandula (debido a Sidney Coleman y Jeffrey Mandula) es un teorema de imposibilidad en física teórica.​ Declara que "las simetrías espaciotemporales y las simetrías internas no pueden ser combinadas, salvo de manera trivial" en aquellas teorías de campo que cumplen ciertas suposiciones.​ En este caso, (que incluye las teorías que podemos considerar realistas), las únicas cantidades conservadas posibles son escalares de Lorentz. (es) Il teorema di Coleman–Mandula, prende il nome da Sidney Coleman and , è un "no-go theorem" in fisica teorica. Esso afferma che le sole quantità conservate a parte i generatori del gruppo di Poincaré, devono essere scalari di Lorentz. Il teorema Coleman–Mandula è uno dei principi di base su cui si basa la teoria della supersimmetria; in quanto si può affermare che i generatori di supersimmetria devono soddisfare delle relazioni di anticommutazione. (it) 양자장론에서 콜먼-맨듈라 정리(영어: Coleman–Mandula theorem)는 대부분의 이론에서는 각운동량과 4차원 운동량을 제외한 모든 연속적 보존량은 로런츠 스칼라라는 정리다. 여기서 "대부분의 이론"이란 질량 간극을 가지고 상호작용을 하는 로런츠 공변 이론이다. (ko) Na física teórica, o teorema de Coleman–Mandula é um teorema de impossibilidade e foi descoberto pelos físicos Sidney Coleman e Jeffrey Mandula. Ele estabelece que a única quantidade conservada de energia com um intervalo de massa numa teoria realista deve ser um . (pt)
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rdfs:comment In theoretical physics, the Coleman–Mandula theorem is a no-go theorem stating that spacetime and internal symmetries can only combine in a trivial way. This means that the charges associated with internal symmetries must always transform as Lorentz scalars. Some notable exceptions to the no-go theorem are conformal symmetry and supersymmetry. It is named after Sidney Coleman and Jeffrey Mandula who proved it in 1967 as the culmination of a series of increasingly generalized no-go theorems investigating how internal symmetries can be combined with spacetime symmetries. The supersymmetric generalization is known as the Haag–Łopuszański–Sohnius theorem. (en) El teorema de Coleman–Mandula (debido a Sidney Coleman y Jeffrey Mandula) es un teorema de imposibilidad en física teórica.​ Declara que "las simetrías espaciotemporales y las simetrías internas no pueden ser combinadas, salvo de manera trivial" en aquellas teorías de campo que cumplen ciertas suposiciones.​ En este caso, (que incluye las teorías que podemos considerar realistas), las únicas cantidades conservadas posibles son escalares de Lorentz. (es) Il teorema di Coleman–Mandula, prende il nome da Sidney Coleman and , è un "no-go theorem" in fisica teorica. Esso afferma che le sole quantità conservate a parte i generatori del gruppo di Poincaré, devono essere scalari di Lorentz. Il teorema Coleman–Mandula è uno dei principi di base su cui si basa la teoria della supersimmetria; in quanto si può affermare che i generatori di supersimmetria devono soddisfare delle relazioni di anticommutazione. (it) 양자장론에서 콜먼-맨듈라 정리(영어: Coleman–Mandula theorem)는 대부분의 이론에서는 각운동량과 4차원 운동량을 제외한 모든 연속적 보존량은 로런츠 스칼라라는 정리다. 여기서 "대부분의 이론"이란 질량 간극을 가지고 상호작용을 하는 로런츠 공변 이론이다. (ko) Na física teórica, o teorema de Coleman–Mandula é um teorema de impossibilidade e foi descoberto pelos físicos Sidney Coleman e Jeffrey Mandula. Ele estabelece que a única quantidade conservada de energia com um intervalo de massa numa teoria realista deve ser um . (pt) Das 1967 von Sidney Coleman und Jeffrey Mandula gefundene Coleman-Mandula-Theorem ist ein (engl.) der theoretischen Physik, das auf sehr allgemeinen Annahmen beruht (zum Beispiel Existenz und Nichttrivialität der S-Matrix, nichtentartetes Vakuum und keine masselosen Elementarteilchen). Es besagt, dass jede Lie-Algebra, welche die Poincaré-Gruppe und eine interne Symmetriegruppe enthält, ein direktes Produkt dieser beiden Gruppen sein muss. Eine externe (raum-zeitliche) Symmetrie kann also nur trivial mit einer internen Symmetrie kombiniert werden. Die tensoralen Symmetrien sind somit bereits mit den Generatoren der Poincaré-Gruppe maximal. (de)
rdfs:label Coleman-Mandula-Theorem (de) Teorema de Coleman-Mandula (es) Coleman–Mandula theorem (en) Teorema di Coleman-Mandula (it) 콜먼-맨듈라 정리 (ko) Teorema de Coleman–Mandula (pt)
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