Particle Weights and their Disintegration I

Details Particle Weights and their Disintegration I Particle Weights and their Disintegration I

2002-08-30

arxiv.org/abs/hep-th/0208230v2

Commun.Math.Phys. 248 (2004) 269-304

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, amslatex, mathptm, minor corrections including numbering scheme

Scientific paper

10.1007/s00220-004-1092-9

The notion of Wigner particles is attached to irreducible unitary representations of the Poincare 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 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.

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