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

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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

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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
RIS ID: https://nottingham-repository.worktribe.com/output/870295
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
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URL Type
https://arxiv.org/abs/1612.04080
UNSPECIFIED
Depositing User: Schenkel, Dr Alexander
Date Deposited: 02 Mar 2017 13:21
Last Modified: 04 May 2020 18:53
URI: https://eprints.nottingham.ac.uk/id/eprint/40998

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