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Local Covariance and Background Independence

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Quantum Field Theory and Gravity

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.

Mathematics Subject Classification (2010). 83C45, 81T05, 83C47.

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Author information

Authors and Affiliations

  1. II Inst. f. Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-22761, Hamburg, Germany

    Klaus Fredenhagen & Katarzyna Rejzner

Authors
  1. Klaus Fredenhagen
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  2. Katarzyna Rejzner
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Corresponding author

Correspondence to Klaus Fredenhagen .

Editor information

Editors and Affiliations

  1. , Lehrstuhl für Mathematik, Universität Regensburg, Universitätsstr. 31, Regensburg, 93053, Germany

    Felix Finster

  2. , Lehrstuhl für Mathematik, Universität Regensburg, Universitätsstr. 31, Regensburg, 93053, Germany

    Olaf Müller

  3. , Fachbereich Mathematik, Universität Hamburg, Bundesstr. 55, Hamburg, 20146, Germany

    Marc Nardmann

  4. in den Naturwissenschaften, Max-Planck-Institut für Mathematik, Inselstr. 22-26, Leipzig, 04103, Germany

    Jürgen Tolksdorf

  5. in den Naturwissenschaften, Max-Planck-Institut für Mathematik, Inselstr. 22-26, Leipzig, 04103, Germany

    Eberhard Zeidler

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Fredenhagen, K., Rejzner, K. (2012). Local Covariance and Background Independence. In: Finster, F., Müller, O., Nardmann, M., Tolksdorf, J., Zeidler, E. (eds) Quantum Field Theory and Gravity. Springer, Basel. https://doi.org/10.1007/978-3-0348-0043-3_2

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