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

作者：Dappiaggi Claudio; Murro Simone; Schenkel Alexander^*

来源：Journal of Geometry and Physics, 2017, 116: 119-123.

DOI：10.1016/j.geomphys.2017.01.015

• Locally covariant quantum field theory
• Natural states
• Chern-Simons theory
• Gauge theory

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.

• 出版日期2017-6