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Local Covariance and Background Independence

In: Quantum Field Theory and Gravity

Author

Listed:
  • Klaus Fredenhagen

    (Universität Hamburg, II Inst. f. Theoretische Physik)

  • Katarzyna Rejzner

    (Universität Hamburg, II Inst. f. Theoretische Physik)

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.

Suggested Citation

  • Klaus Fredenhagen & Katarzyna Rejzner, 2012. "Local Covariance and Background Independence," Springer Books, in: Felix Finster & Olaf Müller & Marc Nardmann & Jürgen Tolksdorf & Eberhard Zeidler (ed.), Quantum Field Theory and Gravity, edition 127, pages 15-23, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0043-3_2
    DOI: 10.1007/978-3-0348-0043-3_2
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