- #1
nughret
- 45
- 0
Does anyone know of any sources which provide a proof, or outline of, the Coleman-Mandula theorem and the Haag-Lopuszanski-Sohnius Theorem?
The Coleman-Mandula and Haag-Lopuszanski-Sohnius Theorems are two important results in theoretical physics that pertain to the symmetries of quantum field theories. They state that the only possible symmetries of a quantum field theory are Poincaré symmetries and internal symmetries, and that these symmetries must be combined in a specific way.
These theorems are important because they provide a framework for understanding the symmetries of quantum field theories, which play a crucial role in modern physics. They also have implications for the structure of spacetime and the nature of particles and their interactions.
These scientists were all influential figures in theoretical physics who made significant contributions to the development of the Coleman-Mandula and Haag-Lopuszanski-Sohnius Theorems. Sidney Coleman and Jeffrey Mandula were American physicists, while Rudolf Haag and Jan Lopuszanski were German and Polish physicists, respectively. Peter Sohnius is a British physicist.
The Coleman-Mandula and Haag-Lopuszanski-Sohnius Theorems have been used in various areas of theoretical physics, including the study of supersymmetry, quantum gravity, and string theory. They have also been applied in the development of mathematical frameworks for understanding the fundamental interactions of particles.
There have been attempts to find exceptions to these theorems, but so far, they have held up in all known cases. However, some extensions have been proposed, such as the Haag-Łopuszański-Sohnius (HLS) theorem, which relaxes some of the assumptions of the original theorems and allows for more general symmetries.