On the spin-statistics connection in curved spacetimes

Chris Fewster

On the spin-statistics connection in curved spacetimes

Mathematics

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

Abstract

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.

Original language	English
Title of host publication	Quantum Mathematical Physics
Subtitle of host publication	A Bridge between Mathematics and Physics
Editors	Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf
Place of Publication	Basel
Publisher	Birkhauser
Pages	1-18
Number of pages	18
ISBN (Electronic)	978-3-319-26902-3
ISBN (Print)	978-3-319-26900-9
Publication status	Published - 9 Mar 2016
Event	Quantum Mathematical Physics A Bridge between Mathematics and Physics - University of Regensburg, Regensburg, Germany Duration: 29 Sep 2014 → 2 Oct 2014

Conference

Conference	Quantum Mathematical Physics A Bridge between Mathematics and Physics
Country/Territory	Germany
City	Regensburg
Period	29/09/14 → 2/10/14

Bibliographical note

© 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.

Access to Document

RegensburgProceedings2015_v2
© 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.
Accepted author manuscript, 449 KB

1 Conference participation

Quantum Mathematical Physics A Bridge between Mathematics and Physics
Chris Fewster (Invited speaker)
29 Sep 2014 → 2 Oct 2014
Activity: Participating in or organising an event › Conference participation

Cite this

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title = "On the spin-statistics connection in curved spacetimes",

abstract = "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. ",

author = "Chris Fewster",

note = "{\textcopyright} 2016. Springer International Publishing Switzerland. This is an author-produced version of the published paper. Uploaded in accordance with the publisher{\textquoteright}s self-archiving policy. Further copying may not be permitted; contact the publisher for details. ; Quantum Mathematical Physics A Bridge between Mathematics and Physics ; Conference date: 29-09-2014 Through 02-10-2014",

year = "2016",

month = mar,

day = "9",

language = "English",

isbn = "978-3-319-26900-9",

pages = "1--18",

editor = "Felix Finster and Johannes Kleiner and Christian R{\"o}ken and J{\"u}rgen Tolksdorf",

booktitle = "Quantum Mathematical Physics",

publisher = "Birkhauser",

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Fewster, C 2016, On the spin-statistics connection in curved spacetimes. in F Finster, J Kleiner, C Röken & J Tolksdorf (eds), Quantum Mathematical Physics: A Bridge between Mathematics and Physics. Birkhauser, Basel, pp. 1-18, Quantum Mathematical Physics A Bridge between Mathematics and Physics, Regensburg, Germany, 29/09/14. <http://www.springer.com/uk/book/9783319269009#aboutBook>

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T1 - On the spin-statistics connection in curved spacetimes

AU - Fewster, Chris

N1 - © 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.

PY - 2016/3/9

Y1 - 2016/3/9

N2 - 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.

AB - 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.

M3 - Chapter (peer-reviewed)

SN - 978-3-319-26900-9

SP - 1

EP - 18

BT - Quantum Mathematical Physics

A2 - Finster, Felix

A2 - Kleiner, Johannes

A2 - Röken, Christian

A2 - Tolksdorf, Jürgen

PB - Birkhauser

CY - Basel

T2 - Quantum Mathematical Physics A Bridge between Mathematics and Physics

Y2 - 29 September 2014 through 2 October 2014

ER -

On the spin-statistics connection in curved spacetimes

Abstract

Conference

Bibliographical note

Access to Document

Activities

Quantum Mathematical Physics A Bridge between Mathematics and Physics

Cite this