Activities per year
Abstract
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 language | English |
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Pages (from-to) | 3889-3926 |
Journal | Annales Henri Poincare |
Volume | 20 |
Issue number | 12 |
Early online date | 20 Sept 2019 |
DOIs | |
Publication status | Published - 26 Nov 2019 |
Bibliographical note
© The Author(s) 2019-
On the status of pointlike fields in integrable QFTs
Henning Bostelmann (Speaker)
10 Jul 2019Activity: Talk or presentation › Talk
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Local operators in integrable quantum field theories
Henning Bostelmann (Invited speaker)
14 May 2019Activity: Talk or presentation › Invited talk
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Local observables in integrable quantum field theories
Henning Bostelmann (Invited speaker)
1 Apr 2019Activity: Talk or presentation › Invited talk