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.
Communications in Mathematical Physics
- Pub Date:
- December 2015
- Mathematical Physics;
- High Energy Physics - Theory;
- Mathematics - Operator Algebras;
- 40 pages, no figure. The final version is available under Open Access. CC-BY