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Non-existence of natural states for Abelian Chern–Simons theory

Dappiaggi, Claudio; Murro, Simone; Schenkel, Alexander

Authors

Claudio Dappiaggi

Simone Murro



Abstract

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.

Citation

Dappiaggi, C., Murro, S., & Schenkel, A. (2017). Non-existence of natural states for Abelian Chern–Simons theory. Journal of Geometry and Physics, 116, 119-123. https://doi.org/10.1016/j.geomphys.2017.01.015

Journal Article Type Article
Acceptance Date Jan 13, 2017
Online Publication Date Feb 6, 2017
Publication Date 2017-06
Deposit Date Mar 2, 2017
Publicly Available Date Mar 2, 2017
Journal Journal of Geometry and Physics
Print ISSN 0393-0440
Electronic ISSN 0393-0440
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 116
Pages 119-123
DOI https://doi.org/10.1016/j.geomphys.2017.01.015
Keywords Locally covariant quantum field theory; Natural states; Chern–Simons theory; Gauge theory
Public URL http://eprints.nottingham.ac.uk/id/eprint/40998
Publisher URL http://www.sciencedirect.com/science/article/pii/S0393044017300281
Related Public URLs https://arxiv.org/abs/1612.04080
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0
Additional Information This article is maintained by: Elsevier; Article Title: Non-existence of natural states for Abelian Chern–Simons theory; Journal Title: Journal of Geometry and Physics; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.geomphys.2017.01.015; Content Type: article; Copyright: © 2017 Elsevier B.V. All rights reserved.

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0





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