Non-existence of natural states for Abelian Chern–Simons theory
We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of quantum field theories on Lorentzian manifolds, but also of topological quantum...
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| Format: | Article |
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Elsevier
2017
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| Online Access: | https://eprints.nottingham.ac.uk/40998/ |
| _version_ | 1848796174331412480 |
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| author | Dappiaggi, Claudio Murro, Simone Schenkel, Alexander |
| author_facet | Dappiaggi, Claudio Murro, Simone Schenkel, Alexander |
| author_sort | Dappiaggi, Claudio |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of quantum field theories on Lorentzian manifolds, but also of topological quantum field theories formulated in the algebraic approach. |
| first_indexed | 2025-11-14T19:43:47Z |
| format | Article |
| id | nottingham-40998 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:47Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-409982020-05-04T18:53:11Z https://eprints.nottingham.ac.uk/40998/ Non-existence of natural states for Abelian Chern–Simons theory Dappiaggi, Claudio Murro, Simone Schenkel, Alexander We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural states is thus not only a phenomenon of quantum field theories on Lorentzian manifolds, but also of topological quantum field theories formulated in the algebraic approach. Elsevier 2017-06-30 Article PeerReviewed Dappiaggi, Claudio, Murro, Simone and Schenkel, Alexander (2017) Non-existence of natural states for Abelian Chern–Simons theory. Journal of Geometry and Physics, 116 . pp. 119-123. ISSN 0393-0440 Locally covariant quantum field theory; Natural states; Chern–Simons theory; Gauge theory http://www.sciencedirect.com/science/article/pii/S0393044017300281 doi:10.1016/j.geomphys.2017.01.015 doi:10.1016/j.geomphys.2017.01.015 |
| spellingShingle | Locally covariant quantum field theory; Natural states; Chern–Simons theory; Gauge theory Dappiaggi, Claudio Murro, Simone Schenkel, Alexander Non-existence of natural states for Abelian Chern–Simons theory |
| title | Non-existence of natural states for Abelian Chern–Simons theory |
| title_full | Non-existence of natural states for Abelian Chern–Simons theory |
| title_fullStr | Non-existence of natural states for Abelian Chern–Simons theory |
| title_full_unstemmed | Non-existence of natural states for Abelian Chern–Simons theory |
| title_short | Non-existence of natural states for Abelian Chern–Simons theory |
| title_sort | non-existence of natural states for abelian chern–simons theory |
| topic | Locally covariant quantum field theory; Natural states; Chern–Simons theory; Gauge theory |
| url | https://eprints.nottingham.ac.uk/40998/ https://eprints.nottingham.ac.uk/40998/ https://eprints.nottingham.ac.uk/40998/ |