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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: Nonrelativistic Quantum Field Theory

MP 10.2: Vortrag

Mittwoch, 1. September 2021, 15:25–15:50, H7

Infravacuum Property and Local Normality — •Bartosz Biadasiewicz and Wojciech Dybalski — Adam Mickiewicz University, Poznan, Poland

This talk concerns an infravacuum representation introduced by K. Kraus, L. Polley and G. Reents. Due to the infravacuum property, it is not equivalent to the standard vacuum representation of a massless scalar free field on the Minkowski spacetime. But for subalgebras corresponding to measurements performed within double cones, restrictions of respective representations are quasi-equivalent. This means that the representation is locally normal. We give a straightforward proof of this fact which is based on the Araki-Yamagami criterion. There is also an interesting group-theoretic aspect that we investigated, the relative normalizer of a pair of subgroups, introduced by D. Cadamuro and W. Dybalski. In our recent work (arXiv: 2106.02032), it re-appeared in this local relativistic setting.