Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Title of host publication | Quantum Field Theory and Gravity. Conceptual and mathematical advances in the search for a unified framework. The volume emerged from the international conference "Quantum Field Theory and Gravity" held in Regensburg 28 September - 1 October 2010 |
---|---|

Date | Published - 2012 |

Pages | 207-227 |

Number of pages | 21 |

Publisher | Birkhauser |

Editors | F Finster, O Mueller, M Nardmann, J Tolksdorf, E Zeidler |

Original language | English |

ISBN (Print) | 978-3-0348-0042-6 |

Brunetti, Fredenhagen and Verch (BFV) have shown how the

notion of local covariance for quantum field theories can be formulated

in terms of category theory: a theory being described as a functor from

a category of spacetimes to a category of (C)-algebras. We discuss

whether this condition is sufficient to guarantee that a theory represents

‘the same physics’ in all spacetimes, giving examples to show that

it does not. A new criterion, dynamical locality, is formulated, which

requires that descriptions of local physics based on kinematical and dynamical

considerations should coincide. Various applications are given,

including a proof that dynamical locality for quantum fields is incompatible

with the possibility of covariantly choosing a preferred state in

each spacetime.

As part of this discussion we state a precise condition that should

hold on any class of theories each representing the same physics in all

spacetimes. This condition holds for the dynamically local theories but

is violated by the full class of locally covariant theories in the BFV sense.

The majority of results described form part of forthcoming papers

with Rainer Verch [16].

notion of local covariance for quantum field theories can be formulated

in terms of category theory: a theory being described as a functor from

a category of spacetimes to a category of (C)-algebras. We discuss

whether this condition is sufficient to guarantee that a theory represents

‘the same physics’ in all spacetimes, giving examples to show that

it does not. A new criterion, dynamical locality, is formulated, which

requires that descriptions of local physics based on kinematical and dynamical

considerations should coincide. Various applications are given,

including a proof that dynamical locality for quantum fields is incompatible

with the possibility of covariantly choosing a preferred state in

each spacetime.

As part of this discussion we state a precise condition that should

hold on any class of theories each representing the same physics in all

spacetimes. This condition holds for the dynamically local theories but

is violated by the full class of locally covariant theories in the BFV sense.

The majority of results described form part of forthcoming papers

with Rainer Verch [16].

## Quantum Field Theory and Gravity

Activity: Talk or presentation › Invited talk

Find related publications, people, projects, datasets and more using interactive charts.