GENERALIZED SCHRÖDINGER EQUATION IN EUCLIDEAN FIELD THEORY

@article{Conrady2004GENERALIZEDSE,
  title={GENERALIZED SCHR{\"O}DINGER EQUATION IN EUCLIDEAN FIELD THEORY},
  author={Florian Conrady and Carlo Rovelli},
  journal={International Journal of Modern Physics A},
  year={2004},
  volume={19},
  pages={4037-4068}
}
We investigate the idea of a "general boundary" formulation of quantum field theory in the context of the Euclidean free scalar field. We propose a precise definition for an evolution kernel that propagates the field through arbitrary space–time regions. We show that this kernel satisfies an evolution equation which governs its dependence on deformations of the boundary surface and generalizes the ordinary (Euclidean) Schrodinger equation. We also derive the classical counterpart of this… 
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