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Where infinite spin particles are localizable

Speaker: 
Roberto Longo
Institution: 
Rome Tor Vergata and CMTP
Schedule: 
Thursday, December 10, 2015 - 16:15
Location: 
A-136
Abstract: 

Particles states transforming in one of the infinite spin representations of the Poincaré group (as classified by E. Wigner) are consistent with fundamental physical principles, but local fields generating them from the vacuum state cannot exist. While it is known that infinite spin states localised in a space-like cone are dense in the one-particle space, we show that the subspace of states localised in any double cone is trivial. This implies that the free field theory associated with infinite spin has no observables localized in bounded regions. In an interacting theory, if the vacuum vector is cyclic for a double cone local algebra, then the theory does not contain infinite spin representations. We also show that if a Doplicher-Haag-Roberts representation (localised in a double cone) of a local net is covariant under a unitary representation of the Poincaré group containing infinite spin, then it has infinite statistics.

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