Re: Spin-Statistics



S.M schrieb:

I have often heard that Quantum field theory is necessary to prove the
spin-statistics relation. Is this true?
Also, what are the minimum assumptions that one needs for proving spin-
statistics?

Poincare invariance, positivity of the energy, and causality (commutativity of smeared field operators whose supports are
spacelike relative to each other).

Details are discussed in Volume 1 of Weinberg's treatice on quantum field theory, but also in his papers
Phys.Rev. 133 (1964), B1318-B1322 (massive case)
Phys.Rev. 134 (1964), B882-B896 (massless case)


Arnold Neumaier

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Relevant Pages

  • Re: Spin-Statistics
    ... spin-statistics relation. ... Poincare invariance, positivity of the energy, and causality ...
    (sci.physics.research)
  • Re: Spin-Statistics
    ... On Dec 5, 7:47 am, Arnold Neumaier ... spin-statistics relation. ... Poincare invariance, positivity of the energy, and causality ... (commutativity of smeared field operators whose supports are ...
    (sci.physics.research)
  • Re: Spin-Statistics
    ... On Dec 5, 7:47 am, Arnold Neumaier ... spin-statistics relation. ... Poincare invariance, positivity of the energy, and causality ... (commutativity of smeared field operators whose supports are ...
    (sci.physics.research)