Towards an explicit construction of local observables in integrable quantum field theories

Henning Bostelmann, Daniela Cadamuro

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We present a new viewpoint on the construction of pointlike local fields in integrable models of quantum field theory. As usual, we define these local observables by their form factors; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we aim to establish them as closed operators affiliated with a net of local von Neumann algebras, which is defined indirectly via wedge-local quantities. We also investigate whether these fields have the Reeh-Schlieder property, and in which sense they generate the net of algebras. Our investigation focuses on scalar models without bound states. We establish sufficient criteria for the existence of averaged fields as closable operators, and complete the construction in the specific case of the massive Ising model.
Original languageEnglish
Pages (from-to)3889-3926
JournalAnnales Henri Poincare
Issue number12
Early online date20 Sept 2019
Publication statusPublished - 26 Nov 2019

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