Fermionic integrable models and graded Borchers triples
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929244554133504 |
|---|---|
| author | Bostelmann, Henning Cadamuro, Daniela |
| author_facet | Bostelmann, Henning Cadamuro, Daniela |
| contents | We provide an operator-algebraic construction of integrable models of quantum field theory on 1+1 dimensional Minkowski space with fermionic scattering states. These are obtained by a grading of the wedge-local fields or, alternatively, of the underlying Borchers triple defining the theory. This leads to a net of graded-local field algebras, of which the even part can be considered observable, although it is lacking Haag duality. Importantly, the nuclearity condition implying nontriviality of the local field algebras is independent of the grading, so that existing results on this technical question can be utilized. Application of Haag-Ruelle scattering theory confirms that the asymptotic particles are indeed fermionic. We also discuss connections with the form factor programme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_14686 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Fermionic integrable models and graded Borchers triples Bostelmann, Henning Cadamuro, Daniela Mathematical Physics 81T05 (primary), 81T40 (secondary) We provide an operator-algebraic construction of integrable models of quantum field theory on 1+1 dimensional Minkowski space with fermionic scattering states. These are obtained by a grading of the wedge-local fields or, alternatively, of the underlying Borchers triple defining the theory. This leads to a net of graded-local field algebras, of which the even part can be considered observable, although it is lacking Haag duality. Importantly, the nuclearity condition implying nontriviality of the local field algebras is independent of the grading, so that existing results on this technical question can be utilized. Application of Haag-Ruelle scattering theory confirms that the asymptotic particles are indeed fermionic. We also discuss connections with the form factor programme. |
| title | Fermionic integrable models and graded Borchers triples |
| topic | Mathematical Physics 81T05 (primary), 81T40 (secondary) |
| url | https://arxiv.org/abs/2112.14686 |