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

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.

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Other URL: http://doi.org/10.1016/j.geomphys.2017.01.015


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.

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Item type:Article
Institutions:Mathematics > Prof. Dr. Ulrich Bunke
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Keywords:LOCALITY; Locally covariant quantum field theory; Natural states; Chern-Simons theory; Gauge theory
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38981
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