Die u:cris Detailansicht:
Local Anyonic Quantum Fields on the Circle Leading to Cone-Local Anyons in Two Dimensions
- Autor(en)
- Matthias Plaschke
- Abstrakt
Using the method of implementable one-particle Bogoliubov transformations, it is possible to explicitly define a local covariant net of quantum fields on the (universal covering of the) circle S
1 with braid group statistics. These anyon fields transform under a representation of U(1) for arbitrary real-valued spin and their commutation relations depend on the relative winding number of localization regions. By taking the tensor product with a local covariant field theory on ℝ
2, one can obtain a (non-boost covariant) cone-localized field net for anyons in two dimensions.
- Organisation(en)
- Mathematische Physik
- Journal
- Letters in Mathematical Physics
- Band
- 105
- Seiten
- 1033-1055
- Anzahl der Seiten
- 23
- ISSN
- 0377-9017
- DOI
- https://doi.org/10.1007/s11005-015-0767-9
- Publikationsdatum
- 08-2015
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103024 Quantenfeldtheorie, 103019 Mathematische Physik
- Schlagwörter
- ASJC Scopus Sachgebiete
- Statistical and Nonlinear Physics, Mathematical Physics
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/babd451e-b004-456a-a8ec-2656b1727fe6