München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Eichtheorien

MP 7.2: Talk

Wednesday, March 20, 2019, 11:40–12:00, HS 23

Local charge operators for massless spin-1-fields — •Moritz Heep and Karl-Henning Rehren — Institut für theoretische Physik, Universität Göttingen, Deutschland

Local generators are local operators that implement a global symmetry locally. They are usually given by integrating the zero-component of a covariant conserved local current over a finite region.

However, for massless particles of helicity ≥ 1 the Weinberg-Witten theorem asserts that such a current does not exist on the Hilbert space. Having said that, the abstract existence of local generators is a consequence of the split property that was recently established for Maxwell fields (and fields of higher helicity) with U(1) symmetry by Longo, Morinelli and Rehren.

This talk will give an insight into the mathematical problems of finding a concrete representation of these operators and present most recent results.