Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

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Title of host publication | Quantum Mathematical Physics |
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Date | Published - 9 Mar 2016 |

Pages | 1-18 |

Number of pages | 18 |

Publisher | Birkhauser |

Place of Publication | Basel |

Editors | Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf |

Original language | English |

ISBN (Electronic) | 978-3-319-26902-3 |

ISBN (Print) | 978-3-319-26900-9 |

The connection between spin and statistics is examined in the context of locally covariant quantum field theory. A generalization is proposed in which locally covariant theories are defined as functors from a category of framed spacetimes to a category of ∗-algebras. This allows for a more operational description of theories with spin, and for the derivation of a more general version of the spin-statistics connection in curved spacetimes than previously available. The proof involves a "rigidity argument" that is also applied in the standard setting of locally covariant quantum field theory to show how properties such as Einstein causality can be transferred from Minkowski spacetime to general curved spacetimes.

© 2016. Springer International Publishing Switzerland. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

## Quantum Mathematical Physics A Bridge between Mathematics and Physics

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