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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 2: Quantum Field Theory I
MP 2.1: Vortrag
Montag, 20. März 2023, 16:30–17:00, ZEU/0250
String-localized quantum field theory: the reverse side of the BRST coin — •Karl-Henning Rehren1, Jens Mund2, and Bert Schroer3 — 1Universität Göttingen — 2Universidade Federal de Juiz de Fora, Brazil — 3Freie Universität Berlin
Gauge symmetry is most successful at predicting the structure of all interactions among particles in the Standard Model. Yet, it addresses exclusively non-observable entities (gauge potentials and Fermi fields). One may ask how ``fundamental'' such a principle can be.
Quantum gauge symmetry can only be formulated on state spaces with indefinite metric (``negative probabilities''). The BRST method allows to return to a Hilbert space. Charged interacting fields are not defined on this Hilbert space, because they are not BRST-invariant.
An alternative is presented with the same (and in one instance even superior) predictive power on the structure of interactions. It proceeds directly on the physical Hilbert space, and allows to construct interacting charged fields. They exhibit a weaker localization than usual, while observables coincide with those in the BRST setup.
arxiv:2209.06133v2