Characterization of Local Observables in Integrable Quantum Field Theories

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• 作者：Henning Bostelmann ; Daniela Cadamuro
• 刊名：Communications in Mathematical Physics
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：337
• 期：3
• 页码：1199-1240
• 全文大小：1,408 KB
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• 作者单位：Henning Bostelmann (1)
  Daniela Cadamuro (2)
  
  1. Department of Mathematics, University of York, York, YO10 5DD, UK
  2. School of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Quantum Physics
  Quantum Computing, Information and Physics
  Complexity
  Statistical Physics
  Relativity and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0916

文摘

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.