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

Dappiaggi, Claudio and 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

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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.

Item Type: Article
Keywords: Locally covariant quantum field theory; Natural states; Chern–Simons theory; Gauge theory
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1016/j.geomphys.2017.01.015
Depositing User: Schenkel, Dr Alexander
Date Deposited: 02 Mar 2017 13:21
Last Modified: 20 Mar 2017 07:04
URI: http://eprints.nottingham.ac.uk/id/eprint/40998

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