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

JOURNAL OF GEOMETRY AND PHYSICS

卷:116

Article

Dappiaggi, Claudio^1,2  Murro, Simone³  Schenkel, Alexander⁴ 

[1] Univ Pavia, Dipartimento Fis, Via Bassi 6, I-27100 Pavia, Italy

[2] INFN, Sez Pavia, Via Bassi 6, I-27100 Pavia, Italy

[3] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

[4] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England

关键词: Locally covariant quantum field theory;    Natural states;    Chern-Simons theory;    Gauge theory;   

DOI  :  10.1016/j.geomphys.2017.01.015

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free