Local covariance and background independence

Klaus Fredenhagen; Kasia Rejzner

doi:10.1007/978-3-0348-0043-3

Local covariance and background independence

Klaus Fredenhagen, Kasia Rejzner

Mathematics

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

Abstract

One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solved by the principle of local covariance. The principle of local covariance was originally imposed in order to restrict the renormalization freedom for quantum field theories on generic spacetimes. It turned out that it can also be used to implement the request of background independence. Locally covariant fields then arise as background independent entities.

Original language	English
Title of host publication	Quantum Field Theory and Gravity
Subtitle of host publication	Conceptual and Mathematical Advances in the Search for a Unified Framework
Editors	Felix Finster, Marc Nardmann, Eberhard Zeidler, Olaf Mueller, Juergen Tolksdorf
Place of Publication	Basel
Publisher	Birkhauser
Pages	15-24
ISBN (Electronic)	978-3-0348-0043-3
ISBN (Print)	978-3-0348-0042-6
DOIs	https://doi.org/10.1007/978-3-0348-0043-3
Publication status	Published - 2012

Access to Document

10.1007/978-3-0348-0043-3

Cite this

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title = "Local covariance and background independence",

abstract = "One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solved by the principle of local covariance. The principle of local covariance was originally imposed in order to restrict the renormalization freedom for quantum field theories on generic spacetimes. It turned out that it can also be used to implement the request of background independence. Locally covariant fields then arise as background independent entities. ",

author = "Klaus Fredenhagen and Kasia Rejzner",

year = "2012",

doi = "10.1007/978-3-0348-0043-3",

language = "English",

isbn = "978-3-0348-0042-6",

pages = "15--24",

editor = "Felix Finster and Marc Nardmann and Eberhard Zeidler and Olaf Mueller and Juergen Tolksdorf",

booktitle = "Quantum Field Theory and Gravity",

publisher = "Birkhauser",

}

Local covariance and background independence. / Fredenhagen, Klaus; Rejzner, Kasia.
Quantum Field Theory and Gravity: Conceptual and Mathematical Advances in the Search for a Unified Framework. ed. / Felix Finster; Marc Nardmann; Eberhard Zeidler; Olaf Mueller; Juergen Tolksdorf. Basel: Birkhauser, 2012. p. 15-24.

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

TY - GEN

T1 - Local covariance and background independence

AU - Fredenhagen, Klaus

AU - Rejzner, Kasia

PY - 2012

Y1 - 2012

N2 - One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solved by the principle of local covariance. The principle of local covariance was originally imposed in order to restrict the renormalization freedom for quantum field theories on generic spacetimes. It turned out that it can also be used to implement the request of background independence. Locally covariant fields then arise as background independent entities.

AB - One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solved by the principle of local covariance. The principle of local covariance was originally imposed in order to restrict the renormalization freedom for quantum field theories on generic spacetimes. It turned out that it can also be used to implement the request of background independence. Locally covariant fields then arise as background independent entities.

U2 - 10.1007/978-3-0348-0043-3

DO - 10.1007/978-3-0348-0043-3

M3 - Conference contribution

SN - 978-3-0348-0042-6

SP - 15

EP - 24

BT - Quantum Field Theory and Gravity

A2 - Finster, Felix

A2 - Nardmann, Marc

A2 - Zeidler, Eberhard

A2 - Mueller, Olaf

A2 - Tolksdorf, Juergen

PB - Birkhauser

CY - Basel

ER -