Abstract
The recent construction of integrable quantum field theories on two-dimensional Minkowski space by operator-algebraic methods is extended to models with a richer particle spectrum, including finitely many massive particle species transforming under a global gauge group. Starting from a two-particle S-matrix satisfying the usual requirements (unitarity, Yang–Baxter equation, Poincaré and gauge invariance, crossing symmetry, . . .), a pair of relatively wedge-local quantum fields is constructed which determines the field net of the model. Although the verification of the modular nuclearity condition as a criterion for the existence of local fields is not carried out in this paper, arguments are presented that suggest it holds in typical examples such as non-linear O(N) σ-models. It is also shown that for all models complying with this condition, the presented construction solves the inverse scattering problem by recovering the S-matrix from the model via Haag–Ruelle scattering theory, and a proof of asymptotic completeness is given.
| Item Type: |
Article
|
| Date Type: |
Publication |
| Status: |
Published |
| Schools: |
Mathematics |
| Subjects: |
Q Science > QA Mathematics |
| Publisher: |
Springer |
| ISSN: |
1424-0637 |
| Date of First Compliant Deposit: |
30 March 2016 |
| Last Modified: |
19 Oct 2019 02:23 |
| URI: |
http://orca.cf.ac.uk/id/eprint/73597 |
Citation Data
Cited 12 times in Scopus. View in Scopus. Powered By Scopus® Data
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