Remarks on QFT in the Coordinate Space

Authors

  • A. Much Instituto de Ciencias Nucleares, UNAM, México D.F. 04510, México

DOI:

https://doi.org/10.5377/ref.v6i1.7017

Keywords:

Foundations of Quantum Field Theory, Second Quantization, Coordinate Operator, Newton-Wiugner Operator, QFT in coordinate space, Fourier-Transformation

Abstract

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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Published

2018-06-22

How to Cite

Much, A. (2018). Remarks on QFT in the Coordinate Space. Revista De La Escuela De Física, 6(1), 25–42. https://doi.org/10.5377/ref.v6i1.7017

Issue

Vol. 6 No. 1 (2018)

Section

Investigation

License

© Revista de la Escuela de Física