Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories

Symmetry Integrability and Geometry-Methods and Applications

article

Yoh Tanimoto¹ 

[1] Graduate School of Mathematical Sciences, The University of Tokyo

关键词: Haag–Kastler net;    integrable models;    wedge;    von Neumann algebras;    Hardy space;    self-adjointness;   

DOI  :  10.3842/SIGMA.2016.100

来源: National Academy of Science of Ukraine

【 摘 要 】

We consider scalar two-dimensional quantum field theories with a factorizing $S$-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators for observables in wedges. Under some additional assumptions on the $S$-matrix, we show that, in order to obtain their strong commutativity, it is enough to prove the essential self-adjointness of the sum of the left and right bound state operators. This essential self-adjointness is shown up to the two-particle component.

【 授权许可】

Unknown