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

被引：11

作者：

Dappiaggi, Claudio ^{[1
,2
]}

Murro, Simone ^{[3
]}

Schenkel, Alexander ^{[4
]}

机构：

[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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 116卷

关键词：

Locally covariant quantum field theory; Natural states; Chern-Simons theory; Gauge theory; LOCALITY;

D O I：

10.1016/j.geomphys.2017.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：119 / 123

页数：5

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