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Generators of the Poincar\'e group, for a free massive scalar field, areusually expressed in the momentum space. In this work we perform atransformation of these generators into the coordinate space. This(spatial)-position space is spanned by eigenvectors of the Newton-Wigner-Pryceoperator. The motivation is a deeper understanding of the commutative spatialcoordinate space in QFT, in order to investigate the non-commutative versionthereof.

Remarks on QFT in the Coordinate Space