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Endomorphisms and automorphisms of locally covariant quantum field theories

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Endomorphisms and automorphisms of locally covariant quantum field theories. / Fewster, Chris.

In: Reviews in Mathematical Physics, Vol. 25, No. 5, 1350008, 06.2013, p. 1-47.

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Harvard

Fewster, C 2013, 'Endomorphisms and automorphisms of locally covariant quantum field theories', Reviews in Mathematical Physics, vol. 25, no. 5, 1350008, pp. 1-47. https://doi.org/10.1142/S0129055X13500086

APA

Fewster, C. (2013). Endomorphisms and automorphisms of locally covariant quantum field theories. Reviews in Mathematical Physics, 25(5), 1-47. [1350008]. https://doi.org/10.1142/S0129055X13500086

Vancouver

Fewster C. Endomorphisms and automorphisms of locally covariant quantum field theories. Reviews in Mathematical Physics. 2013 Jun;25(5):1-47. 1350008. https://doi.org/10.1142/S0129055X13500086

Author

Fewster, Chris. / Endomorphisms and automorphisms of locally covariant quantum field theories. In: Reviews in Mathematical Physics. 2013 ; Vol. 25, No. 5. pp. 1-47.

Bibtex - Download

@article{56fa715eb3cf47fc8a4e969771d11fbd,
title = "Endomorphisms and automorphisms of locally covariant quantum field theories",
abstract = "In the framework of locally covariant quantum field theory, a theory is described as a functor from a category of spacetimes to a category of ∗-algebras. It is proposed that the global gauge group of such a theory can be identified as the group of automorphisms of the defining functor. Consequently, multiplets of fields may be identified at the functorial level. It is shown that locally covariant theories that obey standard assumptions in Minkowski space, including energy compactness, have no proper endomorphisms (i.e., all endomorphisms are automorphisms) and have a compact automorphism group. Further, it is shown how the endomorphisms and automorphisms of a locally covariant theory may, in principle, be classified in any single spacetime. As an example, the endomorphisms and automorphisms of a system of finitely many free scalar fields are completely classified.",
keywords = "mathematical physics;, general relativity;, quantum cosmology;",
author = "Chris Fewster",
year = "2013",
month = "6",
doi = "10.1142/S0129055X13500086",
language = "English",
volume = "25",
pages = "1--47",
journal = "Reviews in Mathematical Physics",
issn = "0129-055X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "5",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Endomorphisms and automorphisms of locally covariant quantum field theories

AU - Fewster, Chris

PY - 2013/6

Y1 - 2013/6

N2 - In the framework of locally covariant quantum field theory, a theory is described as a functor from a category of spacetimes to a category of ∗-algebras. It is proposed that the global gauge group of such a theory can be identified as the group of automorphisms of the defining functor. Consequently, multiplets of fields may be identified at the functorial level. It is shown that locally covariant theories that obey standard assumptions in Minkowski space, including energy compactness, have no proper endomorphisms (i.e., all endomorphisms are automorphisms) and have a compact automorphism group. Further, it is shown how the endomorphisms and automorphisms of a locally covariant theory may, in principle, be classified in any single spacetime. As an example, the endomorphisms and automorphisms of a system of finitely many free scalar fields are completely classified.

AB - In the framework of locally covariant quantum field theory, a theory is described as a functor from a category of spacetimes to a category of ∗-algebras. It is proposed that the global gauge group of such a theory can be identified as the group of automorphisms of the defining functor. Consequently, multiplets of fields may be identified at the functorial level. It is shown that locally covariant theories that obey standard assumptions in Minkowski space, including energy compactness, have no proper endomorphisms (i.e., all endomorphisms are automorphisms) and have a compact automorphism group. Further, it is shown how the endomorphisms and automorphisms of a locally covariant theory may, in principle, be classified in any single spacetime. As an example, the endomorphisms and automorphisms of a system of finitely many free scalar fields are completely classified.

KW - mathematical physics;

KW - general relativity;

KW - quantum cosmology;

U2 - 10.1142/S0129055X13500086

DO - 10.1142/S0129055X13500086

M3 - Article

VL - 25

SP - 1

EP - 47

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

IS - 5

M1 - 1350008

ER -