Lechner, Gandalf  ORCID: https://orcid.org/0000-0002-8829-3121 and Schützenhofer, Christian
2014.
Towards an operator-algebraic construction of integrable global gauge theories.
Annales Henri Poincare
15
(4)
, pp. 645-678.
10.1007/s00023-013-0260-x
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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: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Springer |
| ISSN: | 1424-0637 |
| Date of First Compliant Deposit: | 30 March 2016 |
| Last Modified: | 24 Nov 2024 13:00 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/73597 |
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