On the status of pointlike fields in integrable QFTs

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Title of host publicationXXVI International Conference on Integrable Systems and Quantum symmetries
DateAccepted/In press - 16 Dec 2019
DatePublished (current) - 16 Dec 2019
Volume1416
Original languageEnglish

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NameJournal of Physics: Conference Series
PublisherIOP
Volume1416

Abstract

In integrable models of quantum field theory, local fields are normally constructed by means of the bootstrap-formfactor program. However, the convergence of their n-point functions is unclear in this setting. An alternative approach uses fully convergent expressions for fields with weaker localization properties in spacelike wedges, and deduces existence of observables in bounded regions from there, but yields little information about their explicit form. We propose a new, hybrid construction: We aim to describe pointlike local quantum fields; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we establish them as closed operators affiliated with a net of local von Neumann algebras that is known from the wedge-local approach. This is shown to work at least in the Ising model.

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© 2019, The Author(s).

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