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, 1879-1662

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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. (C) 2017 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: LOCALITY; Locally covariant quantum field theory; Natural states; Chern-Simons theory; Gauge theory
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:10
Last Modified: 15 Feb 2019 12:14
URI: https://pred.uni-regensburg.de/id/eprint/853

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