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.

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

DAPPIAGGI, CLAUDIO;SCHENKEL, ALEXANDER
2017-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1174426
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