AG Lie Gruppen

Jul 22
22-07-2019 14:15 Uhr bis 16:45 Uhr
Übungsraum Ü2

On the Bisognano-Wichmann property for one-particle nets

Vortragende: Vincenzo Morinello, Univ. Rome 2
Veranstalter: Karl-Hermann Neeb

The Bisognano-Wichmann (B-W) property states that, in a local quantum field theory, the modular group associated to any wedge algebra has a geometrical meaning: it implements a one parameter group of boosts of the covariant Poincaré representation. There is no general understanding of this property, in particular for massless possibly interacting theory.
In this talk it is given an overview on the B-W property and recalled the sufficient condition on the covariant representations in the one particle setting, called modularity condition introduced in [M., Ann. H. Poinc. 2018].
It will be further described how it applies to massless one particle theories. This is the first step to state the B-W property for bosonic interacting massless theories.