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The principle of locality and quantum field theory on (non globally hyperbolic) curved spacetimes. (English) Zbl 0779.53052
The author seeks a formulation of quantum field theory and general relativity which emphasizes the aspects which they share and attempts to formulate a set of laws for quantum gravity which retain, as far as possible, these common features. He introduces the notion of $$F$$-locality and shows that $$F$$-locality is a property of the standard field algebra construction for globally hyperbolic spacetimes, and argue that it should be imposed as a condition on any field algebra for non globally hyperbolic spacetimes. The author has examined a number of non globally hyperbolic spacetimes for which there exists a field algebra satisfying $$F$$-locality.

##### MSC:
 53Z05 Applications of differential geometry to physics 83C45 Quantization of the gravitational field
##### Keywords:
quantum gravity; field algebra; hyperbolic spacetimes
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