Local covariance and background independence

Details Local covariance and background independence Local covariance and background independence

2011-02-11

arxiv.org/abs/1102.2376v1

Physics

Mathematical Physics

9 pages, submitted for the Proceedings of the conference "Quantum field theory and gravity", Regensburg (28 Sep - 1 Oct 2010)

Scientific paper

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.

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