Why Aren't Infraparticles Already Wigner Particles?

Wigner's classification of particles systems as irreducible
representations of the Poincare' group doesn't apply to charged
particles. The more general notion of particle classes in the presence
of long-range forces is that of an "infraparticle". Correspondingly,
there is a host of literature on trying to combine Wigner +
infraparticle classifications.

But the first question that comes to mind is: why bother with all this
effort, isn't the problem ALREADY handled by the same techniques? In
particular, the symmetry group for a Yang-Mills field is the product of
the local gauge group and the Poincare' group. So, shouldn't a Wigner
classification on (U(1)xPoincare') suffice to give you the desired
results for a long-range U(1) force?

.

Relevant Pages

  • Re: Why Arent Infraparticles Already Wigner Particles?
    ... >> Wigner's classification of particles systems as irreducible ... representations of the Poincare group, ...
    (sci.physics.research)
  • Re: Mossbauer effect and retarded interactions
    ... >> massive particles interacting with fields. ... In Hamiltonian form, this classical theory is ... >> formulated on an infinite dimensional phase space, and it is Poincare ... > What is the interacting Hamiltonian in this case? ...
    (sci.physics.research)
  • My important Island wont treat before I gasp it.
    ... Tomorrow Ann will emphasize the classification, ... pass Mohammar's sediment with particles, ... The due yield rarely opposes Abdul, ... collapse to the section is too correct for Jimmie to demonstrate it. ...
    (rec.arts.drwho.moderated)
  • Re: please help my confusion about particles and irreps.
    ... > two-fold cover of the Poincare group. ... fundamental systems ("elementary particles or whatever you want to call ... Infraparticles are non-trivial representations which can't ... In the Fock space one can define ...
    (sci.physics.research)
  • Re: Why Arent Infraparticles Already Wigner Particles?
    ... > Wigner's classification of particles systems as irreducible ... Electrons are charged particles and appear in the classification. ... These are no longer _irreducible_ representations. ...
    (sci.physics.research)