Wedge-local fields in integrable models with bound states

Daniela Cadamuro, Yoh Tanimoto

Research output: Contribution to journalArticle (Academic Journal)

Abstract

Recently, large families of two-dimensional quantum field theories with factorizing S-matrices have been constructed by the operator-algebraic methods, by first showing the existence of observables localized in wedge-shaped regions. However, these constructions have been limited to the class of S-matrices whose components are analytic in rapidity in the physical strip. In this work, we construct candidates for observables in wedges for scalar factorizing S-matrices with poles in the physical strip and show that they weakly commute on a certain domain. We discuss some technical issues concerning further developments, especially the self-adjointness of the candidate operators here and strong commutativity between them.
Original languageEnglish
JournalarXiv
Publication statusUnpublished - 4 Feb 2015

Bibliographical note

39 pages, no figure

Keywords

  • math-ph
  • hep-th
  • math.MP
  • math.OA
  • 81T05, 81T40, 81U99

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