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Characterization of local observables in integrable quantum field theories

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JournalCommunications in Mathematical Physics
DateE-pub ahead of print - 27 Feb 2015
DatePublished (current) - 2015
Issue number3
Volume337
Number of pages42
Pages (from-to)1199-1240
Early online date27/02/15
Original languageEnglish

Abstract

Integrable quantum field theories in 1+1 dimensions have recently become amenable to a rigorous construction, but many questions about the structure of their local observables remain open. Our goal is to characterize these local observables in terms of their expansion coefficients in a series expansion by interacting annihilators and creators, similar to form factors. We establish a rigorous one-to-one characterization, where locality of an observable is reflected in analyticity properties of its expansion coefficients; this includes detailed information about the high-energy behaviour of the observable and the growth properties of the analytic functions. Our results hold for generic observables, not only smeared pointlike fields, and the characterizing conditions depend only on the localization region - we consider wedges and double cones - and on the permissible high energy behaviour.

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