Remarks on QFT in the Coordinate Space
DOI:
https://doi.org/10.5377/ref.v6i1.7017Keywords:
Foundations of Quantum Field Theory, Second Quantization, Coordinate Operator, Newton-Wiugner Operator, QFT in coordinate space, Fourier-TransformationAbstract
Generators of the Poincaré group, for a free massive scalar field, are usually expressed in the momentum space. In this work we perform a transformation of these generators into the coordinate space. This (spatial)-position space is spanned by eigenvectors of the Newton-Wigner- Pryce operator. The motivation is twofold. First, we want to investigate the localization of a relativistic particle. Furthermore, we need a deeper understanding of the commutative spatial coordinate space in QFT, in order to investigate the non-commutative version thereof.
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© Revista de la Escuela de Física