English

Wedge-local fields in integrable models with bound states

Mathematical Physics 2017-09-26 v3 High Energy Physics - Theory math.MP Operator Algebras

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.

Keywords

Cite

@article{arxiv.1502.01313,
  title  = {Wedge-local fields in integrable models with bound states},
  author = {Daniela Cadamuro and Yoh Tanimoto},
  journal= {arXiv preprint arXiv:1502.01313},
  year   = {2017}
}

Comments

40 pages, no figure. The final version is available under Open Access. CC-BY

R2 v1 2026-06-22T08:22:24.601Z