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Fundamental particles and representations of the Poincare' group 
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#1
Nov406, 03:39 PM

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Hi everybody,
I've recently encountered the statement that irreducible unitary representations of the Poincare group are parameterised by mass and spin; or, in other words, every fundamental particle defines an irrep of the Poincare group. This seems pretty important, but I can't find a QFT textbook that goes into this in any depth whatsoever. Can anybody give me a clear explanation, or point me towards one? Thanks, Jamie. 


#2
Nov406, 03:39 PM

P: n/a

Jamie wrote:
> I've recently encountered the statement that irreducible unitary > representations of the Poincare group are parameterised by mass and > spin; or, in other words, every fundamental particle defines an irrep > of the Poincare group. This seems pretty important, but I can't find a > QFT textbook that goes into this in any depth whatsoever. Can anybody > give me a clear explanation, or point me towards one? Weinberg's quantum field theory contains an excellent discussion of it. See also the relevant sections of my theoretical physics FAQ at http://www.mat.univie.ac.at/~neum/physicsfaq.txt (in particular those currently labelled S2ce). Arnold Neumaier 


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