Communications in Mathematical Physics

, Volume 248, Issue 2, pp 269–304 | Cite as

Particle Weights and Their Disintegration I

  • Martin PorrmannEmail author


The notion of Wigner particles is attached to irreducible unitary representations of the Poincaré group, characterized by parameters m and s of mass and spin, respectively. However, the Lorentz symmetry is broken in theories with long-range interactions, rendering this approach inapplicable (infraparticle problem). A unified treatment of both particles and infraparticles via the concept of particle weights can be given within the framework of local quantum physics. They arise as temporal limits of physical states in the vacuum sector and describe the asymptotic particle content. In this paper their definition and characteristic properties, already presented in [9] and [14], are worked out in detail. The existence of the temporal limits is established by use of suitably defined seminorms which are also essential in proving the characteristic features of particle weights.


Physical State Characteristic Feature Characteristic Property Temporal Limit Unitary Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.II. Institut für Theoretische PhysikUniversität HamburgHamburgGermany

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