|
This article is cited in 5 scientific papers (total in 5 papers)
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories
Yoh Tanimotoab a Graduate School of Mathematical Sciences, The University of Tokyo,
3-8-1 Komaba Meguro-ku Tokyo 153-8914, Japan
b Institut für Theoretische Physik, Göttingen University,
Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
Abstract:
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.
Keywords:
Haag–Kastler net; integrable models; wedge; von Neumann algebras; Hardy space; self-adjointness.
Received: February 19, 2016; in final form October 10, 2016; Published online October 19, 2016
Citation:
Yoh Tanimoto, “Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories”, SIGMA, 12 (2016), 100, 39 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1182 https://www.mathnet.ru/eng/sigma/v12/p100
|
Statistics & downloads: |
Abstract page: | 115 | Full-text PDF : | 27 | References: | 36 |
|