Minkowski vacuum in background independent quantum gravity

@article{Conrady2004MinkowskiVI,
  title={Minkowski vacuum in background independent quantum gravity},
  author={Florian Conrady and Luisa Doplicher and Robert Oeckl and Carlo Rovelli and Massimo Testa},
  journal={Physical Review D},
  year={2004},
  volume={69},
  pages={064019}
}
We consider a local formalism in quantum field theory, in which no reference is made to infinitely extended spacial surfaces, infinite past or infinite future. This can be obtained in terms of a func- tional W(',�) of the field ' on a closed 3d surfacethat bounds a finite region R of Minkowski spacetime. The dependence of W(',�) onis governed by a local covariant generalization of the Schrodinger equation. Particles' scattering amplitudes that describe experiments conducted in the finite region… 
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